John Williamson (mathematician)
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John Williamson (mathematician)
John Williamson (23 May 1901 – 1949) was a Scottish mathematician who worked in the fields of algebra, invariant theory, and linear algebra. Among other contributions, he is known for the Williamson construction of Hadamard matrices. Williamson graduated from the University of Edinburgh with first-class honours in 1922. Awarded a Commonwealth Fellowship in 1925, he studied at the University of Chicago under the direction of L. E. Dickson and E. H. Moore, receiving the Ph.D. in 1927. He held a Lectureship in Mathematics at the University of St Andrews and an Associate Professorship in Mathematics at Johns Hopkins University Johns Hopkins University (Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland. Founded in 1876, Johns Hopkins is the oldest research university in the United States and in the western hem .... See also * Williamson conjecture References External links * * 1901 births 1949 de ...
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Kinross
Kinross (, gd, Ceann Rois) is a burgh in Perth and Kinross, Scotland, around south of Perth and around northwest of Edinburgh. It is the traditional county town of the historic county of Kinross-shire. History Kinross's origins are connected with the nearby Loch Leven and its islands whose history goes back to the 5th century AD. Kinross developed as a staging post on the Great North Road from North Queensferry to Perth. In time, local industry developed and by the early 18th century the town had grown to a population of around 600 people. By the mid-19th century, a thriving wool weaving industry had emerged. Kinross Town Hall was completed in 1841. Location and transport The site of the original Pre-Reformation parish church and churchyard are located down a small wynd overlooking Loch Leven, a little away from the town. The church was dedicated to St. Serf and was under control of Dunfermline Abbey. Noteworthy ministers included John Colden from 1593 to 1640 and his so ...
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Leonard Eugene Dickson
Leonard Eugene Dickson (January 22, 1874 – January 17, 1954) was an American mathematician. He was one of the first American researchers in abstract algebra, in particular the theory of finite fields and classical groups, and is also remembered for a three-volume history of number theory, ''History of the Theory of Numbers''. Life Dickson considered himself a Texan by virtue of having grown up in Cleburne, where his father was a banker, merchant, and real estate investor. He attended the University of Texas at Austin, where George Bruce Halsted encouraged his study of mathematics. Dickson earned a B.S. in 1893 and an M.S. in 1894, under Halsted's supervision. Dickson first specialised in Halsted's own specialty, geometry.A. A. Albert (1955Leonard Eugene Dickson 1874–1954from National Academy of Sciences Both the University of Chicago and Harvard University welcomed Dickson as a Ph.D. student, and Dickson initially accepted Harvard's offer, but chose to attend Chicago in ...
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Academics Of The University Of St Andrews
An academy ( Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, '' Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulatio ...
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University Of Chicago Fellows
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university ...
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Johns Hopkins University Faculty
Johns may refer to: Places * Johns, Mississippi, an unincorporated community * Johns, Oklahoma, United States, a community * Johns Creek (Chattahoochee River), Georgia, United States * Johns Island (other), islands in Canada and the United States * Johns Mountain, a summit in Georgia * Johns River (other) * Johns River (Vermont), a tributary of Lake Memphremagog * Johns Township, Appanoose County, Iowa, United States Other uses * Johns (surname) * Johns Hopkins (1795–1873), American entrepreneur, investor and philanthropist * ''johns'' (film), a 1996 film starring David Arquette and Lukas Haas See also * John (other) * Justice Johns (other) * {{disambig, geo ...
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Alumni Of The University Of Edinburgh
This is a list of notable graduates as well as non-graduate former students, academic staff, and university officials of the University of Edinburgh in Scotland. It also includes those who may be considered alumni by extension, having studied at institutions that later merged with the University of Edinburgh. The university is associated with 19 Nobel Prize laureates, three Turing Award winners, an Abel Prize laureate and Fields Medallist, four Pulitzer Prize winners, three Prime Ministers of the United Kingdom, and several Olympic gold medallists. Government and politics Heads of state and government United Kingdom Cabinet and Party Leaders Scottish Cabinet and Party Leaders Current Members of the House of Commons * Wendy Chamberlain, MP for North East Fife * Joanna Cherry, MP for Edinburgh South West * Colin Clark, MP for Gordon * Anneliese Dodds, MP for Oxford East * Kate Green, MP for Stretford and Urmston * John Howell, MP for Henley * Neil Hudson, M ...
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1949 Deaths
Events January * January 1 – A United Nations-sponsored ceasefire brings an end to the Indo-Pakistani War of 1947. The war results in a stalemate and the division of Kashmir, which still continues as of 2022. * January 2 – Luis Muñoz Marín becomes the first democratically elected Governor of Puerto Rico. * January 11 – The first "networked" television broadcasts take place, as KDKA-TV in Pittsburgh, Pennsylvania goes on the air, connecting east coast and mid-west programming in the United States. * January 16 – Şemsettin Günaltay forms the new government of Turkey. It is the 18th government, last single party government of the Republican People's Party. * January 17 – The first VW Type 1 to arrive in the United States, a 1948 model, is brought to New York by Dutch businessman Ben Pon. Unable to interest dealers or importers in the Volkswagen, Pon sells the sample car to pay his travel expenses. Only two 1949 models are sold in America tha ...
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1901 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * 19 (film), ''19'' (film), a 2001 Japanese film * Nineteen (film), ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * 19 (Adele album), ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD (rapper), MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * XIX (EP), ''XIX'' (EP), a 2019 EP by 1the9 Songs * 19 (song), "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album ''Refugee (Bad4Good album), Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * Nineteen (song), "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus ...
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Williamson Conjecture
In combinatorial mathematics, specifically in combinatorial design theory and combinatorial matrix theory the Williamson conjecture is that Williamson matrices of order n exist for all positive integers n. Four symmetric and circulant matrices A, B, C, D are known as ''Williamson matrices'' if their entries are \pm1 and they satisfy the relationship :A^2 + B^2 + C^2 + D^2 = 4n I where I is the identity matrix of order n. John Williamson showed that if A, B, C, D are Williamson matrices then :\begin A & B & C & D \\ -B & A & -D & C \\ -C & D & A & -B \\ -D & -C & B & A \end is an Hadamard matrix In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal. In geometric terms, this means that each pair of rows in ... of order 4n. It was once considered likely that Williamson matrices exist for all orders n and that the structure of Wil ...
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Johns Hopkins University
Johns Hopkins University (Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland. Founded in 1876, Johns Hopkins is the oldest research university in the United States and in the western hemisphere. It consistently ranks among the most prestigious universities in the United States and the world. The university was named for its first benefactor, the American entrepreneur and Quaker philanthropist Johns Hopkins. Hopkins' $7 million bequest to establish the university was the largest Philanthropy, philanthropic gift in U.S. history up to that time. Daniel Coit Gilman, who was inaugurated as :Presidents of Johns Hopkins University, Johns Hopkins's first president on February 22, 1876, led the university to revolutionize higher education in the U.S. by integrating teaching and research. In 1900, Johns Hopkins became a founding member of the American Association of Universities. The university has led all Higher education in the U ...
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University Of St Andrews
(Aien aristeuein) , motto_lang = grc , mottoeng = Ever to ExcelorEver to be the Best , established = , type = Public research university Ancient university , endowment = £117.7 million (2021) , budget = £286.6 million (2020–21) , chancellor = The Lord Campbell of Pittenweem , rector = Leyla Hussein , principal = Sally Mapstone , academic_staff = 1,230 (2020) , administrative_staff = 1,576 , students = () , undergrad = () , postgrad = () , doctoral = , other = , city = St Andrews , state = , country = Scotland , coordinates = , campus = College town , colours = United College, St Andrews St Mary's College School of Medicine S ...
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First-class Honours
The British undergraduate degree classification system is a grading structure for undergraduate degrees or bachelor's degrees and integrated master's degrees in the United Kingdom. The system has been applied (sometimes with significant variations) in other countries and regions. History The classification system as currently used in the United Kingdom was developed in 1918. Honours were then a means to recognise individuals who demonstrated depth of knowledge or originality, as opposed to relative achievement in examination conditions. Concern exists about possible grade inflation. It is claimed that academics are under increasing pressure from administrators to award students good marks and grades with little regard for those students' actual abilities, in order to maintain their league table rankings. The percentage of graduates who receive a First (First Class Honours) has grown from 7% in 1997 to 26% in 2017, with the rate of growth sharply accelerating toward the end of ...
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