Zsolt Baranyai
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Zsolt Baranyai
Zsolt Baranyai (June 23, 1948 in Budapest – April 6, 1978) was a Hungarian mathematician known for his work in combinatorics. He graduated from Fazekas High School where he was a classmate of László Lovász, Miklós Laczkovich, and Lajos Pósa. He studied mathematics at Eötvös Loránd University and went on to become a lecturer in the Analysis Department. He earned his Ph.D. in 1975 and was posthumously awarded the Candidate degree of the Hungarian Academy of Sciences in 1978. Baranyai is best known for his theorem on the decompositions of complete hypergraph, which solved a long-standing open problem. In addition to his mathematical pursuits, Baranyai was also a professional musician who played the recorder Recorder or The Recorder may refer to: Newspapers * ''Indianapolis Recorder'', a weekly newspaper * ''The Recorder'' (Massachusetts newspaper), a daily newspaper published in Greenfield, Massachusetts, US * ''The Recorder'' (Port Pirie), a news .... He d ...
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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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Hungarian Academy Of Sciences
The Hungarian Academy of Sciences ( hu, Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. Its main responsibilities are the cultivation of science, dissemination of scientific findings, supporting research and development, and representing Hungarian science domestically and around the world. History The history of the academy began in 1825 when Count István Széchenyi offered one year's income of his estate for the purposes of a ''Learned Society'' at a district session of the Diet in Pressburg (Pozsony, present Bratislava, seat of the Hungarian Parliament at the time), and his example was followed by other delegates. Its task was specified as the development of the Hungarian language and the study and propagation of the sciences and the arts in Hungarian. It received its current name in 1845. Its central building was inaugurate ...
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1978 Deaths
Events January * January 1 – Air India Flight 855, a Boeing 747 passenger jet, crashes off the coast of Bombay, killing 213. * January 5 – Bülent Ecevit, of Republican People's Party, CHP, forms the new government of Turkey (42nd government). * January 6 – The Holy Crown of Hungary (also known as Stephen of Hungary Crown) is returned to Hungary from the United States, where it was held since World War II. * January 10 – Pedro Joaquín Chamorro Cardenal, a critic of the Nicaraguan government, is assassinated; riots erupt against Anastasio Somoza Debayle, Somoza's government. * January 18 – The European Court of Human Rights finds the British government guilty of mistreating prisoners in Northern Ireland, but not guilty of torture. * January 22 – Ethiopia declares the ambassador of West Germany ''persona non grata''. * January 24 ** Soviet Union, Soviet satellite Kosmos 954 burns up in Earth's atmosphere, scattering debris over Canada's Northwest Territories. ** ...
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1948 Births
Events January * January 1 ** The General Agreement on Tariffs and Trade (GATT) is inaugurated. ** The Constitution of New Jersey (later subject to amendment) goes into effect. ** The railways of Britain are nationalized, to form British Railways. * January 4 – Burma gains its independence from the United Kingdom, becoming an independent republic, named the ''Union of Burma'', with Sao Shwe Thaik as its first President, and U Nu its first Prime Minister. * January 5 ** Warner Brothers shows the first color newsreel (''Tournament of Roses Parade'' and the ''Rose Bowl Game''). ** The first Kinsey Reports, Kinsey Report, ''Sexual Behavior in the Human Male'', is published in the United States. * January 7 – Mantell UFO incident: Kentucky Air National Guard pilot Thomas Mantell crashes while in pursuit of an unidentified flying object. * January 12 – Mahatma Gandhi begins his fast-unto-death in Delhi, to stop communal violence during the Partition of India. * ...
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Recorder (musical Instrument)
The recorder is a family of woodwind musical instruments in the group known as ''internal duct flutes'': flutes with a whistle mouthpiece, also known as fipple flutes. A recorder can be distinguished from other duct flutes by the presence of a thumb-hole for the upper hand and seven finger-holes: three for the upper hand and four for the lower. It is the most prominent duct flute in the western classical tradition. Recorders are made in various sizes with names and compasses roughly corresponding to various vocal ranges. The sizes most commonly in use today are the soprano (also known as descant, lowest note C5), alto (also known as treble, lowest note F4), tenor (lowest note C4), and bass (lowest note F3). Recorders were traditionally constructed from wood or ivory. Modern professional instruments are almost invariably of wood, often boxwood; student and scholastic recorders are commonly of molded plastic. The recorders' internal and external proportions vary, but the bore i ...
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Hypergraphs
In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two vertices. Formally, an undirected hypergraph H is a pair H = (X,E) where X is a set of elements called ''nodes'' or ''vertices'', and E is a set of non-empty subsets of X called ''hyperedges'' or ''edges''. Therefore, E is a subset of \mathcal(X) \setminus\, where \mathcal(X) is the power set of X. The size of the vertex set is called the ''order of the hypergraph'', and the size of edges set is the ''size of the hypergraph''. A directed hypergraph differs in that its hyperedges are not sets, but ordered pairs of subsets of X, with each pair's first and second entries constituting the tail and head of the hyperedge respectively. While graph edges connect only 2 nodes, hyperedges connect an arbitrary number of nodes. However, it is often desirable to study hypergraphs where all hyperedges have the same car ...
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Baranyai's Theorem
In combinatorial mathematics, Baranyai's theorem (proved by and named after Zsolt Baranyai) deals with the decompositions of complete hypergraphs. Statement of the theorem The statement of the result is that if 2\le r are integers and ''r'' divides ''k'', then the complete K^k_r decomposes into 1-factors. K^k_r is a hypergraph with ''k'' vertices, in which every subset of ''r'' vertices forms a hyperedge; a 1-factor of this hypergraph is a set of hyperedges that touches each vertex exactly once, or equivalently a of the vertices into subsets of size ''r''. Thus, the theorem ...
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Candidate Of Sciences
Candidate of Sciences (russian: кандидат наук, translit=kandidat nauk) is the first of two doctoral level scientific degrees in Russia and the Commonwealth of Independent States. It is formally classified as UNESCO's ISCED level 8, "doctoral or equivalent". It may be recognized as Doctor of Philosophy, usually in natural sciences, by scientific institutions in other countries. Former Soviet countries also have a more advanced degree, Doctor of Sciences. Overview The degree was first introduced in the USSR on 13 January 1934 by a decision of the Council of People's Commissars of the USSR, all previous degrees, ranks and titles having been abolished immediately after the October Revolution in 1917. Academic distinctions and ranks were viewed as survivals of capitalist inequality and hence were to be permanently eliminated. The original decree also recognized some degrees earned prior to 1917 in Tsarist Russia and elsewhere. To attain the Candidate of Sciences de ...
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Hungarian People
Hungarians, also known as Magyars ( ; hu, magyarok ), are a nation and ethnic group native to Hungary () and Kingdom of Hungary, historical Hungarian lands who share a common Hungarian culture, culture, Hungarian history, history, Magyar tribes, ancestry, and Hungarian language, language. The Hungarian language belongs to the Uralic languages, Uralic language family. There are an estimated 15 million ethnic Hungarians and their descendants worldwide, of whom 9.6 million live in today's Hungary. About 2–3 million Hungarians live in areas that were part of the Kingdom of Hungary before the Treaty of Trianon in 1920 and are now parts of Hungary's seven neighbouring countries, Hungarians in Slovakia, Slovakia, Hungarians in Ukraine, Ukraine, Hungarians in Romania, Romania, Hungarians in Serbia, Serbia, Hungarians of Croatia, Croatia, Prekmurje, Slovenia, and Hungarians in Austria, Austria. Hungarian diaspora, Significant groups of people with Hungarian ancestry live in various oth ...
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Eötvös Loránd University
Eötvös Loránd University ( hu, Eötvös Loránd Tudományegyetem, ELTE) is a Hungarian public research university based in Budapest. Founded in 1635, ELTE is one of the largest and most prestigious public higher education institutions in Hungary. The 28,000 students at ELTE are organized into nine faculties, and into research institutes located throughout Budapest and on the scenic banks of the Danube. ELTE is affiliated with 5 Nobel laureates, as well as winners of the Wolf Prize, Fulkerson Prize and Abel Prize, the latest of which was Abel Prize winner László Lovász in 2021. The predecessor of Eötvös Loránd University was founded in 1635 by Cardinal Péter Pázmány in Nagyszombat, Kingdom of Hungary (today Trnava, Slovakia) as a Catholic university for teaching theology and philosophy. In 1770, the university was transferred to Buda. It was named Royal University of Pest until 1873, then University of Budapest until 1921, when it was renamed Royal Hungarian Pázmá ...
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Lajos Pósa (mathematician)
Lajos Pósa (born December 9, 1947 in Budapest) is a Hungarian mathematician working in the topic of combinatorics, and one of the most prominent mathematics educators of Hungary, best known for his mathematics camps for gifted students. He is a winner of the Széchenyi Prize. Paul Erdős's favorite "child", he discovered theorems at the age of 16. Since 2002, he has worked at the Rényi Institute of the Hungarian Academy of Sciences; earlier he was at the Eötvös Loránd University, at the Departments of Mathematical Analysis, Computer Science. Biography He was born in Budapest, Hungary on December 9, 1947. His father was a chemist, his mother a mathematics teacher. He was a child prodigy. While still in elementary school, the educator Rózsa Péter, friend of his mother introduced him to Paul Erdős, who invited him for lunch in a restaurant, and bombarded him with mathematical questions. Pósa finished the problems sooner than his soup, which impressed Erdős, who himself ...
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