Ilya M. Sobol
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Ilya M. Sobol
Ilya Meyerovich Sobol’ (russian: Илья Меерович Соболь; born 15 August 1926) is a Russian mathematician, known for his work on Monte Carlo methods. His research spans several applications, from nuclear studies to astrophysics, and has contributed significantly to the field of sensitivity analysis. Biography Ilya Meyerovich Sobol’ was born on August 15, 1926, in Panevėžys (Lithuania). When World War II reached Lithuania his family was evacuated to Izhevsk. Here Sobol’ attended high school which he finished in 1943 with distinction. Sobol’ then moved to Moscow at the Faculty of Mechanics and Mathematics of Moscow State University, where he graduated with distinction in 1948.M. K. Kerimov, 2007, On the 80th Birthday of Il’ya Meyerovich Sobol’, Computational Mathematics and Mathematical Physics, 47(7), 1065–1072. Ilya Meyerovich Sobol’ recognizes Aleksandr Khinchin, Viktor Vladimirovich Nemytskii, and A. Kolmogorov as his teachers. In 1949, S ...
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Lithuania
Lithuania (; lt, Lietuva ), officially the Republic of Lithuania ( lt, Lietuvos Respublika, links=no ), is a country in the Baltic region of Europe. It is one of three Baltic states and lies on the eastern shore of the Baltic Sea. Lithuania shares land borders with Latvia to the north, Belarus to the east and south, Poland to the south, and Russia to the southwest. It has a Maritime boundary, maritime border with Sweden to the west on the Baltic Sea. Lithuania covers an area of , with a population of 2.8 million. Its capital and largest city is Vilnius; other major cities are Kaunas and Klaipėda. Lithuanians belong to the ethno-linguistic group of the Balts and speak Lithuanian language, Lithuanian, one of only a few living Baltic languages. For millennia the southeastern shores of the Baltic Sea were inhabited by various Balts, Baltic tribes. In the 1230s, Lithuanian lands were united by Mindaugas, Monarchy of Lithuania, becoming king and founding the Kingdom of Lithuania ...
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Andrey Nikolayevich Tikhonov
Andrey Nikolayevich Tikhonov (russian: Андре́й Никола́евич Ти́хонов; October 17, 1906 – October 7, 1993) was a leading Soviet Russian mathematician and geophysicist known for important contributions to topology, functional analysis, mathematical physics, and ill-posed problems. He was also one of the inventors of the magnetotellurics method in geophysics. Other transliterations of his surname include "Tychonoff", "Tychonov", "Tihonov", "Tichonov." Biography Born in Gzhatsk, he studied at the Moscow State University where he received a Ph.D. in 1927 under the direction of Pavel Sergeevich Alexandrov. In 1933 he was appointed as a professor at Moscow State University. He became a corresponding member of the USSR Academy of Sciences on 29 January 1939 and a full member of the USSR Academy of Sciences on 1 July 1966. Research work Tikhonov worked in a number of different fields in mathematics. He made important contributions to topology, functiona ...
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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 ...
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Russian Mathematicians
Russian(s) refers to anything related to Russia, including: *Russians (, ''russkiye''), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries *Rossiyane (), Russian language term for all citizens and people of Russia, regardless of ethnicity *Russophone, Russian-speaking person (, ''russkogovoryashchy'', ''russkoyazychny'') *Russian language, the most widely spoken of the Slavic languages *Russian alphabet *Russian cuisine *Russian culture *Russian studies Russian may also refer to: *Russian dressing *''The Russians'', a book by Hedrick Smith *Russian (comics), fictional Marvel Comics supervillain from ''The Punisher'' series *Russian (solitaire), a card game * "Russians" (song), from the album ''The Dream of the Blue Turtles'' by Sting *"Russian", from the album ''Tubular Bells 2003'' by Mike Oldfield *"Russian", from the album '' '' by Caravan Palace *Nik Russian, the perpetrator of a con committed in 2002 *The South African name for a ...
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Russian Jews
The history of the Jews in Russia and areas historically connected with it goes back at least 1,500 years. Jews in Russia have historically constituted a large religious and ethnic diaspora; the Russian Empire at one time hosted the largest population of Jews in the world. Within these territories the primarily Ashkenazi Jewish communities of many different areas flourished and developed many of modern Judaism's most distinctive theological and cultural traditions, while also facing periods of anti-Semitic discriminatory policies and persecutions. Some have described a "renaissance" in the Jewish community inside Russia since the beginning of the 21st century.Renaissance of Jewish life in Russia
November 23, 2001, By John ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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Lithuanian Jews
Lithuanian Jews or Litvaks () are Jews with roots in the territory of the former Grand Duchy of Lithuania (covering present-day Lithuania, Belarus, Latvia, the northeastern Suwałki and Białystok regions of Poland, as well as adjacent areas of modern-day Russia and Ukraine). The term is sometimes used to cover all Haredi Jews who follow a " Lithuanian" ( Ashkenazi, non- Hasidic) style of life and learning, whatever their ethnic background. The area where Lithuanian Jews lived is referred to in Yiddish as , hence the Hebrew term (). No other famous Jew is more closely linked to a specifically Lithuanian city than Vilna Gaon (in Yiddish, "the genius of Vilna"). Rabbi Elijah ben Solomon Zalman (1720–1797) to give his rarely used full name, helped make Vilna (modern-day Vilnius) a world center for Talmudic learning. Chaim Grade (1910–1982) was born in Vilna, the city about which he would write. The inter-war Republic of Lithuania was home to a large and influential Jewish ...
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1926 Births
Events January * January 3 – Theodoros Pangalos (general), Theodoros Pangalos declares himself dictator in Greece. * January 8 **Abdul-Aziz ibn Saud is crowned King of Kingdom of Hejaz, Hejaz. ** Bảo Đại, Crown Prince Nguyễn Phúc Vĩnh Thuy ascends the throne, the last monarch of Vietnam. * January 12 – Freeman Gosden and Charles Correll premiere their radio program ''Sam 'n' Henry'', in which the two white performers portray two black characters from Harlem looking to strike it rich in the big city (it is a precursor to Gosden and Correll's more popular later program, ''Amos 'n' Andy''). * January 16 – A BBC comic radio play broadcast by Ronald Knox, about a workers' revolution, causes a panic in London. * January 21 – The Belgian Parliament accepts the Locarno Treaties. * January 26 – Scottish inventor John Logie Baird demonstrates a mechanical television system at his London laboratory for members of the Royal Institution and a report ...
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Variance-based Sensitivity Analysis
Variance-based sensitivity analysis (often referred to as the Sobol method or Sobol indices, after Ilya M. Sobol) is a form of global sensitivity analysis.Sobol,I.M. (2001), Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. ''MATH COMPUT SIMULAT'',55(1–3),271-280, Saltelli, A., Ratto, M., Andres, T., Campolongo, F., Cariboni, J., Gatelli, D. Saisana, M., and Tarantola, S., 2008, ''Global Sensitivity Analysis. The Primer'', John Wiley & Sons. Working within a probabilistic framework, it decomposes the variance of the output of the model or system into fractions which can be attributed to inputs or sets of inputs. For example, given a model with two inputs and one output, one might find that 70% of the output variance is caused by the variance in the first input, 20% by the variance in the second, and 10% due to interactions between the two. These percentages are directly interpreted as measures of sensitivity. Variance-based measures of sen ...
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Experimental Design
The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associated with experiments in which the design introduces conditions that directly affect the variation, but may also refer to the design of quasi-experiments, in which natural conditions that influence the variation are selected for observation. In its simplest form, an experiment aims at predicting the outcome by introducing a change of the preconditions, which is represented by one or more independent variables, also referred to as "input variables" or "predictor variables." The change in one or more independent variables is generally hypothesized to result in a change in one or more dependent variables, also referred to as "output variables" or "response variables." The experimental design may also identify control variables that must be h ...
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Optimization
Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maxima and minima, maximizing or minimizing a Function of a real variable, real function by systematically choosing Argument of a function, input values from within an allowed set and computing the Value (mathematics), value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. More generally, opti ...
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Rashid Sunyaev
Rashid Alievich Sunyaev ( tt-Cyrl, Рәшит Гали улы Сөнәев, russian: Раши́д Али́евич Сюня́ев; born 1 March 1943 in Tashkent, USSR) is a Germany, German, Soviet Union, Soviet, and Russia, Russian astrophysicist of Tatar descent. He got his MS degree from the Moscow Institute of Physics and Technology (MIPT) in 1966. He became a professor at Moscow Institute of Physics and Technology, MIPT in 1974. Sunyaev was the head of the High Energy Astrophysics Department of the Russian Academy of Sciences, and has been chief scientist of the Academy's Space Research Institute since 1992. He has also been a director of the Max Planck Institute for Astrophysics in Garching bei München, Garching, Germany since 1996, and Maureen and John Hendricks Distinguished Visiting Professor in the School of Natural Sciences at the Institute for Advanced Study in Princeton since 2010. Works Sunyaev and Yakov Zeldovich, Yakov B. Zeldovich developed the theory for the evol ...
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