Norman Routledge
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Norman Routledge
Norman Arthur Routledge (7 March 1928 – 27 April 2013) was a British mathematician and schoolteacher. He was a personal friend of fellow mathematician Alan Turing (1912–1954). Life and career Norman Routledge was born near Alexandra Park, north London, England. He was about to begin secondary education at Glendale County School, Wood Green, in 1939, when the outbreak of World War II intervened. He was evacuated with his mother, going to live in Letchworth with an aunt, and attending Letchworth Grammar School, where he was taught mathematics by George Braithwaite. In 1946 Routledge matriculated with a scholarship at King's College, Cambridge, where he read mathematics. He was supervised by Albert Ingham and Philip Hall. He gained a first class degree in 1949 and went on to research in recursion theory. It resulted in the papers ''Ordinal recursion'' (1953) and ''Concerning definable sets'' (1954). Routledge taught as a scientific officer at the Royal Aircraf ...
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Eton College
Eton College () is a public school in Eton, Berkshire, England. It was founded in 1440 by Henry VI under the name ''Kynge's College of Our Ladye of Eton besyde Windesore'',Nevill, p. 3 ff. intended as a sister institution to King's College, Cambridge, making it the 18th-oldest Headmasters' and Headmistresses' Conference (HMC) school. Eton is particularly well-known for its history, wealth, and notable alumni, called Old Etonians. Eton is one of only three public schools, along with Harrow (1572) and Radley (1847), to have retained the boys-only, boarding-only tradition, which means that its boys live at the school seven days a week. The remainder (such as Rugby in 1976, Charterhouse in 1971, Westminster in 1973, and Shrewsbury in 2015) have since become co-educational or, in the case of Winchester, as of 2021 are undergoing the transition to that status. Eton has educated prime ministers, world leaders, Nobel laureates, Academy Award and BAFTA award-winning actors, and ge ...
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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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RAE Farnborough
The Royal Aircraft Establishment (RAE) was a British research establishment, known by several different names during its history, that eventually came under the aegis of the UK Ministry of Defence (MoD), before finally losing its identity in mergers with other institutions. The first site was at Farnborough Airfield ("RAE Farnborough") in Hampshire to which was added a second site RAE Bedford (Bedfordshire) in 1946. In 1988 it was renamed the Royal Aerospace Establishment (RAE) before merging with other research entities to become part of the new Defence Research Agency in 1991. History In 1904–1906 the Army Balloon Factory, which was part of the Army School of Ballooning, under the command of Colonel James Templer, relocated from Aldershot to the edge of Farnborough Common in order to have enough space to inflate the new "dirigible balloon" or airship which was then under construction.Walker, P; Early Aviation at Farnborough, Volume I: Balloons, Kites and Airships, Macdona ...
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Recursion Theory
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability. In these areas, computability theory overlaps with proof theory and effective descriptive set theory. Basic questions addressed by computability theory include: * What does it mean for a function on the natural numbers to be computable? * How can noncomputable functions be classified into a hierarchy based on their level of noncomputability? Although there is considerable overlap in terms of knowledge and methods, mathematical computability theorists study the theory of relative computability, reducibility notions, and degree structures; those in the computer science field focus on the theory of subrecursive hierarchies, formal methods, and formal languages. I ...
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First Class Degree
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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Philip Hall
Philip Hall FRS (11 April 1904 – 30 December 1982), was an English mathematician. His major work was on group theory, notably on finite groups and solvable groups. Biography He was educated first at Christ's Hospital, where he won the Thompson Gold Medal for mathematics, and later at King's College, Cambridge. He was elected a Fellow of the Royal Society in 1951 and awarded its Sylvester Medal in 1961. He was President of the London Mathematical Society in 1955–1957, and awarded its Berwick Prize in 1958 and De Morgan Medal in 1965. Publications * * * See also * Abstract clone * Commutator collecting process * Isoclinism of groups * Regular p-group * Three subgroups lemma * Hall algebra, and Hall polynomials * Hall subgroup * Hall–Higman theorem * Hall–Littlewood polynomial * Hall's universal group * Hall's marriage theorem * Hall word * Hall–Witt identity * Irwin–Hall distribution * Zappa–Szép product In mathematics, especially group theory, the Zap ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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