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Michael Guy (computer Scientist)
Michael J. T. Guy (born 1 April 1943) is a British computer scientist and mathematician. He is known for early work on computer systems, such as the Phoenix system at the University of Cambridge, and for contributions to number theory, computer algebra, and the theory of polyhedra in higher dimensions. He worked closely with John Horton Conway, and is the son of Conway's collaborator Richard K. Guy. Mathematical work With Conway, Guy found the complete solution to the Soma cube of Piet Hein. Also with Conway, an enumeration led to the discovery of the grand antiprism, an unusual uniform polychoron in four dimensions. The two had met at Gonville and Caius College, Cambridge, where Guy was an undergraduate student from 1960, and Conway was a graduate student. It was through Michael that Conway met Richard Guy, who would become a co-author of works in combinatorial game theory. Michael Guy with Conway made numerous particular contributions to geometry, number and game theo ...
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United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and Northern Ireland. The United Kingdom includes the island of Great Britain, the north-eastern part of the island of Ireland, and many smaller islands within the British Isles. Northern Ireland shares a land border with the Republic of Ireland; otherwise, the United Kingdom is surrounded by the Atlantic Ocean, the North Sea, the English Channel, the Celtic Sea and the Irish Sea. The total area of the United Kingdom is , with an estimated 2020 population of more than 67 million people. The United Kingdom has evolved from a series of annexations, unions and separations of constituent countries over several hundred years. The Treaty of Union between the Kingdom of England (which included Wales, annexed in 1542) and the Kingdom of ...
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Gonville And Caius College, Cambridge
Gonville and Caius College, often referred to simply as Caius ( ), is a constituent college of the University of Cambridge in Cambridge, England. Founded in 1348, it is the fourth-oldest of the University of Cambridge's 31 colleges and one of the wealthiest. The college has been attended by many students who have gone on to significant accomplishment, including fifteen Nobel Prize winners, the second-highest of any Oxbridge college after Trinity College, Cambridge. The college has long historical associations with the teaching of medicine, especially due to its prominent alumni in the medical profession. It also has globally-recognized and prestigious academic programmes in law, economics, English literature, and history. Famous Gonville and Caius alumni include physicians John Caius (who gave the college the caduceus in its insignia) and William Harvey. Other alumni in the sciences include Francis Crick (joint discoverer of the structure of DNA with James Watson), Jam ...
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Roger Needham
Roger Michael Needham (9 February 1935 – 1 March 2003) was a British computer scientist. Early life and education Needham was born in Birmingham, England, the only child of Phyllis Mary, ''née'' Baker (''c''.1904–1976) and Leonard William Needham (''c''.1905–1973), a university chemistry lecturer. He attended Doncaster Grammar School for Boys in Doncaster (then in the West Riding) going on to St John's College, Cambridge in 1953, and graduating with a BA in 1956 in mathematics and philosophy. Herbert, Andrew James"Needham, Roger Michael (1935–2003)", ''Oxford Dictionary of National Biography'', Oxford University Press, March 2009; online edition, January 2007. Retrieved 27 August 2018 His PhD thesis was on applications of digital computers to the automatic classification and retrieval of documents. He worked on a variety of key computing projects in security, operating systems, computer architecture (capability systems) and local area networks. Career ...
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Atlas (computer)
The Atlas Computer was one of the world's first supercomputers, in use from 1962 (when it was claimed to be the most powerful computer in the world) to 1972. Atlas' capacity promoted the saying that when it went offline, half of the United Kingdom's computer capacity was lost. It is notable for being the first machine with virtual memory (at that time referred to as 'one-level store') using paging techniques; this approach quickly spread, and is now ubiquitous. Atlas was a second-generation computer, using discrete germanium transistors. Atlas was created in a joint development effort among the University of Manchester, Ferranti International plc and the Plessey Co., plc. Two other Atlas machines were built: one for British Petroleum and the University of London, and one for the Atlas Computer Laboratory at Chilton near Oxford. A derivative system was built by Ferranti for Cambridge University. Called the Titan, or Atlas 2, it had a different memory organisation and ran ...
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Titan (1963 Computer)
Titan was the prototype of the Atlas 2 computer developed by Ferranti and the University of Cambridge Mathematical Laboratory in Cambridge, England. It was designed starting in 1963, and in operation from 1964 to 1973. History In 1961, the University of Cambridge found itself unable to fund a suitably powerful computer for its needs at the time, so the University purchased from Ferranti the main Atlas processing units and then jointly designed the memory and peripheral equipment. The joint effort led to a cheaper and simpler version of the Atlas that Ferranti could market, leaving Cambridge with the prototype version, named Titan. The Atlas hardware arrived in Cambridge in 1963, although software design was already underway. David Wheeler was in charge of the joint effort between the University and Ferranti. In 1965 the Cambridge side of the team decided to add a time-sharing facility for Titan, necessitating the acquisition of additional hardware. When Titan came into full s ...
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File System
In computing, file system or filesystem (often abbreviated to fs) is a method and data structure that the operating system uses to control how data is stored and retrieved. Without a file system, data placed in a storage medium would be one large body of data with no way to tell where one piece of data stopped and the next began, or where any piece of data was located when it was time to retrieve it. By separating the data into pieces and giving each piece a name, the data are easily isolated and identified. Taking its name from the way a paper-based data management system is named, each group of data is called a " file". The structure and logic rules used to manage the groups of data and their names is called a "file system." There are many kinds of file systems, each with unique structure and logic, properties of speed, flexibility, security, size and more. Some file systems have been designed to be used for specific applications. For example, the ISO 9660 file system is desig ...
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Mathematika
''Mathematika'' is a peer-reviewed mathematics journal that publishes both pure and applied mathematical articles. The journal was founded by Harold Davenport in the 1950s. The journal is published by the London Mathematical Society, on behalf of the journal's owner University College London. Indexing and abstracting According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 0.844. The journal in indexing in the following bibliographic databases: * MathSciNet * Science Citation Index Expanded * Web of Science * Zentralblatt MATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastruct ... References {{reflist London Mathematical Society Mathematics education in the United Kingdom Mathematics journals Publications established in 1954 Quarterly journals ...
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Cubic Surface
In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space, and so cubic surfaces are generally considered in projective 3-space \mathbf^3. The theory also becomes more uniform by focusing on surfaces over the complex numbers rather than the real numbers; note that a complex surface has real dimension 4. A simple example is the Fermat cubic surface :x^3+y^3+z^3+w^3=0 in \mathbf^3. Many properties of cubic surfaces hold more generally for del Pezzo surfaces. Rationality of cubic surfaces A central feature of smooth cubic surfaces ''X'' over an algebraically closed field is that they are all rational, as shown by Alfred Clebsch in 1866. That is, there is a one-to-one correspondence defined by rational functions between the projective plane \mathbf^2 minus a lower-dimensional su ...
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Hasse Principle
In mathematics, Helmut Hasse's local–global principle, also known as the Hasse principle, is the idea that one can find an diophantine equation, integer solution to an equation by using the Chinese remainder theorem to piece together solutions modular arithmetic, modulo powers of each different prime number. This is handled by examining the equation in the Completion (ring theory), completions of the rational numbers: the real numbers and the p-adic number, ''p''-adic numbers. A more formal version of the Hasse principle states that certain types of equations have a rational solution if and only if they have a solution in the real numbers ''and'' in the ''p''-adic numbers for each prime ''p''. Intuition Given a polynomial equation with rational coefficients, if it has a rational solution, then this also yields a real solution and a ''p''-adic solution, as the rationals embed in the reals and ''p''-adics: a global solution yields local solutions at each prime. The Hasse principle as ...
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Faculty Of Mathematics, University Of Cambridge
The Faculty of Mathematics at the University of Cambridge comprises the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP). It is housed in the Centre for Mathematical Sciences site in West Cambridge, alongside the Isaac Newton Institute. Many distinguished mathematicians have been members of the faculty. Some current members DPMMS * Béla Bollobás * John Coates *Thomas Forster * Timothy Gowers * Peter Johnstone *Imre Leader * Gabriel Paternain Statistical Laboratory * John Aston * Geoffrey Grimmett *Frank Kelly * Ioannis Kontoyiannis * Richard Nickl * James Norris *Richard Samworth * David Spiegelhalter * Richard Weber DAMTP *Gary Gibbons * Julia Gog, professor of mathematical biology * Raymond E. Goldstein * Rich Kerswell * Paul Linden * Michael Green * Peter Haynes, fluid dynamicist * John Hinch, fluid dynamicist, retired 2014 *Richard Jozsa * Hugh Osborn * John Papaloizou * Malc ...
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New York City
New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the List of United States cities by population density, most densely populated major city in the United States, and is more than twice as populous as second-place Los Angeles. New York City lies at the southern tip of New York (state), New York State, and constitutes the geographical and demographic center of both the Northeast megalopolis and the New York metropolitan area, the largest metropolitan area in the world by urban area, urban landmass. With over 20.1 million people in its metropolitan statistical area and 23.5 million in its combined statistical area as of 2020, New York is one of the world's most populous Megacity, megacities, and over 58 million people live within of the city. New York City is a global city, global Culture of New ...
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Sporadic Group
In mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups. A simple group is a group ''G'' that does not have any normal subgroups except for the trivial group and ''G'' itself. The classification theorem states that the list of finite simple groups consists of 18 countably infinite plus 26 exceptions that do not follow such a systematic pattern. These 26 exceptions are the sporadic groups. They are also known as the sporadic simple groups, or the sporadic finite groups. Because it is not strictly a group of Lie type, the Tits group is sometimes regarded as a sporadic group, in which case there would be 27 sporadic groups. The monster group is the largest of the sporadic groups, and all but six of the other sporadic groups are subquotients of it. Names Five of the sporadic groups were discovered by Mathieu in the 1860s and the other 21 were found between 1965 and 1975. Several of these groups were predicted to exist ...
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