Jenő Szép
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Jenő Szép
Jenő Szép (13 January 1920 – 18 October 2004) was a Hungarian mathematician and professor at the Corvinus University of Budapest, University of Economics, Budapest (now Corvinus University). His main research interests were group theory and game theory. He was a founder of the journal ''Pure Mathematics and Applications'' (PUMA). The Zappa–Szép product in group theory is named after him and Guido Zappa. Biography Jenő Szép's parents were Pál Szép and Arabella Liebert. His wife Gabriella Tésy (1919–2015) was also a mathematician. They had four children: Gabriella (1948), Katalin (1950), Zsófia (1952), and Jenő (1957). Szép graduated from Miklós Zrínyi Real High School in Budapest in 1938. He later attended Eötvös Loránd University , Pázmány Péter University and obtained a teacher's diploma in mathematics and physics in 1943, as well as a doctorate in humanities in 1946. He was an intern (1941–1943) and assistant professor (1943–1946) at the Eö ...
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Budapest
Budapest (, ; ) is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and the second-largest city on the Danube river; the city has an estimated population of 1,752,286 over a land area of about . Budapest, which is both a city and county, forms the centre of the Budapest metropolitan area, which has an area of and a population of 3,303,786; it is a primate city, constituting 33% of the population of Hungary. The history of Budapest began when an early Celtic settlement transformed into the Roman town of Aquincum, the capital of Lower Pannonia. The Hungarians arrived in the territory in the late 9th century, but the area was pillaged by the Mongols in 1241–42. Re-established Buda became one of the centres of Renaissance humanist culture by the 15th century. The Battle of Mohács, in 1526, was followed by nearly 150 years of Ottoman rule. After the reconquest of Buda in 1686, the ...
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Università Degli Studi Di Siena
The University of Siena ( it, Università degli Studi di Siena, abbreviation: UNISI) in Siena, Tuscany, is one of the oldest and first publicly funded universities in Italy. Originally called ''Studium Senese'', the institution was founded in 1240. It had around 20,000 students in 2006, nearly half of Siena's total population of around 54,000. In the academic year 2022–2023, it had a total undergraduate enrollment of 17,00 and graduate enrollment of 2,989. Today, the University of Siena is best known for its Schools of Law, Medicine, and Economics and Management. History The early ''studium'' The School of Humanities and Philosophy On December 26, 1240, Ildebrandino Cacciaconti, the then podestà of Siena, signed a decree imposing a tax on citizens of Siena who rented rooms to students of the local "''Studium Senese''". The money from this tax went to pay for the salaries of the ''maestri'' (teachers) of this new studium. The studium was further supported when, in 1252, ...
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Ferenc Forgó
Ferenc Forgó (born 16 April 1942 in Pécs) is a Hungarian economist and mathematician. He is a Doctor of the Hungarian Academy of Sciences and professor emeritus at the Corvinus University of Budapest. His main research interests have been Mathematical optimization, mathematical programming and game theory. Early life and career Between 1960 and 1965, Forgó studied at the Corvinus University of Budapest, Károly Marx University of Economics, where he was one of the first students to graduate as an economist / mathematician. After graduation, he joined the Mathematics Department and soon became an assistant professor. In 1970, he spent a year in the United States as a Ford Foundation, Ford Foundation Fellow at the University of Southern California, Los Angeles. In 1974, he successfully defended his PhD thesis in economics. He became a full professor in 1991 and professor emeritus after retiring in 2012. In 2015, he became a Doctor of the Hungarian National Academy. For decad ...
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Nash Equilibrium
In game theory, the Nash equilibrium, named after the mathematician John Nash, is the most common way to define the solution of a non-cooperative game involving two or more players. In a Nash equilibrium, each player is assumed to know the equilibrium strategies of the other players, and no one has anything to gain by changing only one's own strategy. The principle of Nash equilibrium dates back to the time of Cournot, who in 1838 applied it to competing firms choosing outputs. If each player has chosen a strategy an action plan based on what has happened so far in the game and no one can increase one's own expected payoff by changing one's strategy while the other players keep their's unchanged, then the current set of strategy choices constitutes a Nash equilibrium. If two players Alice and Bob choose strategies A and B, (A, B) is a Nash equilibrium if Alice has no other strategy available that does better than A at maximizing her payoff in response to Bob choosing B, and Bob ...
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Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively: ''x''·''y'', or simply ''xy'', denotes the result of applying the semigroup operation to the ordered pair . Associativity is formally expressed as that for all ''x'', ''y'' and ''z'' in the semigroup. Semigroups may be considered a special case of magmas, where the operation is associative, or as a generalization of groups, without requiring the existence of an identity element or inverses. The closure axiom is implied by the definition of a binary operation on a set. Some authors thus omit it and specify three axioms for a group and only one axiom (associativity) for a semigroup. As in the case of groups or magmas, the semigroup operation need not be commutative, so ''x''·''y'' is not necessarily equal to ''y''·''x''; a well-known example of an operation that is as ...
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Nilpotent Group
In mathematics, specifically group theory, a nilpotent group ''G'' is a group that has an upper central series that terminates with ''G''. Equivalently, its central series is of finite length or its lower central series terminates with . Intuitively, a nilpotent group is a group that is "almost abelian". This idea is motivated by the fact that nilpotent groups are solvable, and for finite nilpotent groups, two elements having relatively prime orders must commute. It is also true that finite nilpotent groups are supersolvable. The concept is credited to work in the 1930s by Russian mathematician Sergei Chernikov. Nilpotent groups arise in Galois theory, as well as in the classification of groups. They also appear prominently in the classification of Lie groups. Analogous terms are used for Lie algebras (using the Lie bracket) including nilpotent, lower central series, and upper central series. Definition The definition uses the idea of a central series for a group. The followi ...
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Springer Science+Business Media
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology
". Springer Science+Business Media.
In 1964, Springer expanded its business internationally, o ...
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Kluwer Academic Publishers
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second largest academic publisher with 65 staff in 1872.Chronology
". Springer Science+Business Media.
In 1964, Springer expanded its business internationally, o ...
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