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Edward Kofler
Edward Kofler (November 16, 1911 – April 22, 2007) was a mathematician who made important contributions to game theory and fuzzy logic by working out the theory of linear partial information. Biography Kofler was born in Brzeżany, Austrian-Hungarian empire (now western Ukraine) and Graduation, graduated as a disciple of among others Hugo Steinhaus and Stefan Banach from the University of Lwów Poland (now Ukraine) and the University of Cracow, having studied game theory. After graduation in 1939 Kofler returned to his family in Kolomyia (today Kolomea in Ukraine), where he taught mathematics in a Polish high school. After Operation Barbarossa, German attack on the town 1 July 1941 he succeeded to escape to Kazakhstan together with his wife. At Alma-Ata he managed a Polish school with orphanage in exile and worked there as mathematics teacher. After World War II ended he returned home with the orphanage. He was accompanied by his wife and their baby son. The family settled in Po ...
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Brzeżany
Berezhany ( uk, Бережани, ; pl, Brzeżany; yi, ברעזשאַן, Brezhan; he, בּז'יז'אני/בּז'ז'ני ''Bzhezhani''/''Bzhizhani'') is a city in Ternopil Raion, Ternopil Oblast (province) of western Ukraine. It lies about from the oblast capital, Ternopil. The city is about above sea level. The yearly temperature in Berezhany ranges from in winter to in summer. Berezhany hosts the administration of Berezhany urban hromada, one of the hromadas of Ukraine. Population: History The first written mention of Berezhany dates from 1374, when the village was granted by the Governor of Galicia and Lodomeria Vladislaus II to Ruthenian boyar Vas'ko Teptukhovych. Shortly afterwards, in the 14th century it became a part of Poland and became the property of a noble family from Buchach — members House of Buczacki, later Sieniawa. As Mikołaj Sieniawski, a notable Polish military commander and politician envisioned a seat of his family there, on March 19, 1530, Kin ...
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Hugo Steinhaus
Hugo Dyonizy Steinhaus ( ; ; January 14, 1887 – February 25, 1972) was a Polish mathematician and educator. Steinhaus obtained his PhD under David Hilbert at Göttingen University in 1911 and later became a professor at the Jan Kazimierz University in Lwów (now Lviv, Ukraine), where he helped establish what later became known as the Lwów School of Mathematics. He is credited with "discovering" mathematician Stefan Banach, with whom he gave a notable contribution to functional analysis through the Banach–Steinhaus theorem. After World War II Steinhaus played an important part in the establishment of the mathematics department at Wrocław University and in the revival of Polish mathematics from the destruction of the war. Author of around 170 scientific articles and books, Steinhaus has left his legacy and contribution in many branches of mathematics, such as functional analysis, geometry, mathematical logic, and trigonometry. Notably he is regarded as one of the earl ...
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Leningrad
Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), is the List of cities and towns in Russia by population, second-largest city in Russia. It is situated on the Neva River, at the head of the Gulf of Finland on the Baltic Sea, with a population of roughly 5.4 million residents. Saint Petersburg is the List of European cities by population within city limits, fourth-most populous city in Europe after Istanbul, Moscow and London, the List of cities and towns around the Baltic Sea, most populous city on the Baltic Sea, and the world's List of northernmost items#Cities and settlements, northernmost city of more than 1 million residents. As Russia's Imperial capital, and a Ports of the Baltic Sea, historically strategic port, it is governed as a Federal cities of Russia, federal city. ...
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University Of St Petersburg
Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the Great, the university from the beginning has had a focus on fundamental research in science, engineering and humanities. During the Soviet period, it was known as Leningrad State University (russian: Ленинградский государственный университет). It was renamed after Andrei Zhdanov in 1948 and was officially called "Leningrad State University, named after A. A. Zhdanov and decorated with the Order of Lenin and the Order of the Red Banner of Labour." Zhdanov's was removed in 1989 and Leningrad in the name was officially replaced with Saint Petersburg in 1992. It is made up of 24 specialized faculties (departments) and institutes, the Academic Gymnasium, the Medical College, the College of Physical Culture ...
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Information
Information is an abstract concept that refers to that which has the power to inform. At the most fundamental level information pertains to the interpretation of that which may be sensed. Any natural process that is not completely random, and any observable pattern in any medium can be said to convey some amount of information. Whereas digital signals and other data use discrete signs to convey information, other phenomena and artifacts such as analog signals, poems, pictures, music or other sounds, and currents convey information in a more continuous form. Information is not knowledge itself, but the meaning that may be derived from a representation through interpretation. Information is often processed iteratively: Data available at one step are processed into information to be interpreted and processed at the next step. For example, in written text each symbol or letter conveys information relevant to the word it is part of, each word conveys information relev ...
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A Priori And A Posteriori
("from the earlier") and ("from the later") are Latin phrases used in philosophy to distinguish types of knowledge, justification, or argument by their reliance on empirical evidence or experience. knowledge is independent from current experience (e.g., as part of a new study). Examples include mathematics,Some associationist philosophers have contended that mathematics comes from experience and is not a form of any a priori knowledge () tautologies, and deduction from pure reason. Galen Strawson has stated that an argument is one in which "you can see that it is true just lying on your couch. You don't have to get up off your couch and go outside and examine the way things are in the physical world. You don't have to do any science." () knowledge depends on empirical evidence. Examples include most fields of science and aspects of personal knowledge. The terms originate from the analytic methods found in '' Organon'', a collection of works by Aristotle. Prior ...
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Econometrics
Econometrics is the application of statistical methods to economic data in order to give empirical content to economic relationships.M. Hashem Pesaran (1987). "Econometrics," '' The New Palgrave: A Dictionary of Economics'', v. 2, p. 8 p. 8–22 Reprinted in J. Eatwell ''et al.'', eds. (1990). ''Econometrics: The New Palgrave''p. 1p. 1–34Abstract (2008 revision by J. Geweke, J. Horowitz, and H. P. Pesaran). More precisely, it is "the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference". An introductory economics textbook describes econometrics as allowing economists "to sift through mountains of data to extract simple relationships". Jan Tinbergen is one of the two founding fathers of econometrics. The other, Ragnar Frisch, also coined the term in the sense in which it is used today. A basic tool for econometrics is the multiple linear regression model. ''Econometric the ...
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Exile
Exile is primarily penal expulsion from one's native country, and secondarily expatriation or prolonged absence from one's homeland under either the compulsion of circumstance or the rigors of some high purpose. Usually persons and peoples suffer exile, but sometimes social entities like institutions (e.g. the papacy or a government) are forced from their homeland. In Roman law, ''exsilium'' denoted both voluntary exile and banishment as a capital punishment alternative to death. Deportation was forced exile, and entailed the lifelong loss of citizenship and property. Relegation was a milder form of deportation, which preserved the subject's citizenship and property. The term diaspora describes group exile, both voluntary and forced. "Government in exile" describes a government of a country that has relocated and argues its legitimacy from outside that country. Voluntary exile is often depicted as a form of protest by the person who claims it, to avoid persecution and prose ...
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Alma-Ata
Almaty (; kk, Алматы; ), formerly known as Alma-Ata ( kk, Алма-Ата), is the largest city in Kazakhstan, with a population of about 2 million. It was the capital of Kazakhstan from 1929 to 1936 as an autonomous republic as part of the Soviet Union, then from 1936 to 1991 as a union republic and finally from 1991 as an independent state to 1997 when the government relocated the capital to Akmola (renamed Astana in 1998, Nur-Sultan in 2019, and back to Astana in 2022). Almaty is still the major commercial, financial, and cultural centre of Kazakhstan, as well as its most populous and most cosmopolitan city. The city is located in the mountainous area of southern Kazakhstan near the border with Kyrgyzstan in the foothills of the Trans-Ili Alatau at an elevation of 700–900 m (2,300–3,000 feet), where the Large and Small Almatinka rivers run into the plain.
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Kazakhstan
Kazakhstan, officially the Republic of Kazakhstan, is a transcontinental country located mainly in Central Asia and partly in Eastern Europe. It borders Russia Russia (, , ), or the Russian Federation, is a transcontinental country spanning Eastern Europe and Northern Asia. It is the largest country in the world, with its internationally recognised territory covering , and encompassing one-eigh ... to Kazakhstan–Russia border, the north and west, China to China–Kazakhstan border, the east, Kyrgyzstan to Kazakhstan–Kyrgyzstan border, the southeast, Uzbekistan to Kazakhstan–Uzbekistan border, the south, and Turkmenistan to Kazakhstan–Turkmenistan border, the southwest, with a coastline along the Caspian Sea. Its capital is Astana, known as Nur-Sultan from 2019 to 2022. Almaty, Kazakhstan's largest city, was the country's capital until 1997. Kazakhstan is the world's largest landlocked country, the largest and northernmost Muslim world, Muslim-majority cou ...
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Operation Barbarossa
Operation Barbarossa (german: link=no, Unternehmen Barbarossa; ) was the invasion of the Soviet Union by Nazi Germany and many of its Axis allies, starting on Sunday, 22 June 1941, during the Second World War. The operation, code-named after Frederick Barbarossa ("red beard"), a 12th-century Holy Roman emperor and German king, put into action Nazi Germany's ideological goal of conquering the western Soviet Union to repopulate it with Germans. The German aimed to use some of the conquered people as forced labour for the Axis war effort while acquiring the oil reserves of the Caucasus as well as the agricultural resources of various Soviet territories. Their ultimate goal was to create more (living space) for Germany, and the eventual extermination of the indigenous Slavic peoples by mass deportation to Siberia, Germanisation, enslavement, and genocide. In the two years leading up to the invasion, Nazi Germany and the Soviet Union signed political and economic pacts fo ...
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