Mathematical Institute, University Of Oxford
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Mathematical Institute, University Of Oxford
The Mathematical Institute is the mathematics department at the University of Oxford in England. It is one of the nine departments of the university's Mathematical, Physical and Life Sciences Division. The institute includes both pure and applied mathematics (Statistics is a separate department) and is one of the largest mathematics departments in the United Kingdom with about 200 academic staff. It was ranked (in a joint submission with Statistics) as the top mathematics department in the UK in the 2021 Research Excellence Framework. Research at the Mathematical Institute covers all branches of mathematical sciences ranging from, for example, algebra, number theory, and geometry to the application of mathematics to a wide range of fields including industry, finance, networks, and the brain. It has more than 850 undergraduates and 550 doctoral or masters students. The institute inhabits a purpose-built building between Somerville College and Green Templeton College on Woodstoc ...
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The Mathematical Institute At Oxford University
''The'' () is a grammatical Article (grammar), article in English language, English, denoting persons or things already mentioned, under discussion, implied or otherwise presumed familiar to listeners, readers, or speakers. It is the definite article in English. ''The'' is the Most common words in English, most frequently used word in the English language; studies and analyses of texts have found it to account for seven percent of all printed English-language words. It is derived from gendered articles in Old English which combined in Middle English and now has a single form used with pronouns of any gender. The word can be used with both singular and plural nouns, and with a noun that starts with any letter. This is different from many other languages, which have different forms of the definite article for different genders or numbers. Pronunciation In most dialects, "the" is pronounced as (with the voiced dental fricative followed by a schwa) when followed by a consonant s ...
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Bodleian Library
The Bodleian Library () is the main research library of the University of Oxford, and is one of the oldest libraries in Europe. It derives its name from its founder, Sir Thomas Bodley. With over 13 million printed items, it is the second-largest library in Britain after the British Library. Under the Legal Deposit Libraries Act 2003, it is one of six legal deposit libraries for works published in the United Kingdom, and under Irish law it is entitled to request a copy of each book published in the Republic of Ireland. Known to Oxford scholars as "Bodley" or "the Bod", it operates principally as a reference library and, in general, documents may not be removed from the reading rooms. In 2000, a number of libraries within the University of Oxford were brought together for administrative purposes under the aegis of what was initially known as Oxford University Library Services (OULS), and since 2010 as the Bodleian Libraries, of which the Bodleian Library is the largest comp ...
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St Giles' Street, Oxford
St Giles' is a wide boulevard leading north from the centre of Oxford, England. At its northern end, the road divides into Woodstock Road to the left and Banbury Road to the right, both major roads through North Oxford. At the southern end, the road continues as Magdalen Street at the junction with Beaumont Street to the west. Also to the west halfway along the street is Pusey Street. Like the rest of North Oxford, much of St Giles' is owned by St John's College. Church At the northern end of St Giles' is St Giles' Church, whose churchyard includes the main War Memorial. The church originates from the 12th century. Other buildings and structures Working from north to south, on the east side are the Lamb & Flag public house (formerly a coaching inn), St John's College, the Oxford Internet Institute (No 1 St Giles'), Balliol College, and Trinity College. On the west side are the International Study Centre of d'Overbroeck's College, St Benet's Hall, the Theology Fa ...
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Radcliffe Science Library
The Radcliffe Science Library (RSL) is the main teaching and research science library at the University of Oxford in Oxford, England. Being officially part of the Bodleian Libraries, the library holds the Legal Deposit material for the sciences and is thus entitled to receive a copy of all British scientific publications. In December 2018 it was announced that the premises would be used as the basis of a new non-residential graduate college of the university, Reuben College, alongside the library. The library closed for refurbishment in December 2019 to reopen in Summer 2021. RSL library stock and services are now being provided temporarily at the Vere Harmsworth Library in the Rothermere American Institute. History The scientific books housed in the Radcliffe Camera were transferred to the Oxford University Museum of Natural History in 1861. On land next to the museum (on the corner of Parks Road and South Parks Road) a new library building opened in 1901, the Radcliffe Librar ...
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Colleges Of The University Of Oxford
The University of Oxford has thirty-nine colleges, and five permanent private halls (PPHs) of religious foundation. Colleges and PPHs are autonomous self-governing corporations within the university. These colleges are not only houses of residence, but have substantial responsibility for teaching undergraduate students. Generally tutorials (one of the main methods of teaching in Oxford) and classes are the responsibility of colleges, while lectures, examinations, laboratories, and the central library are run by the university. Students normally have most of their tutorials in their own college, but often have a couple of modules taught at other colleges or even at faculties and departments. Most colleges take both graduates and undergraduates, but several are for graduates only. Undergraduate and graduate students may name preferred colleges in their applications. For undergraduate students, an increasing number of departments practise reallocation to ensure that the ratios betwe ...
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Parallel (geometry)
In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet. ''Parallel curves'' are curves that do not touch each other or intersect and keep a fixed minimum distance. In three-dimensional Euclidean space, a line and a plane that do not share a point are also said to be parallel. However, two noncoplanar lines are called ''skew lines''. Parallel lines are the subject of Euclid's parallel postulate. Parallelism is primarily a property of affine geometries and Euclidean geometry is a special instance of this type of geometry. In some other geometries, such as hyperbolic geometry, lines can have analogous properties that are referred to as parallelism. Symbol The parallel symbol is \parallel. For example, AB \parallel CD indicates that line ''AB'' is parallel to line ''CD''. In the Unicode character set, the "parallel" and "not parallel" signs have codepoint ...
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Matrix (mathematics)
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, \begin1 & 9 & -13 \\20 & 5 & -6 \end is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a "-matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra. Therefore, the study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices. For example, matrix multiplication represents composition of linear maps. Not all matrices are related to linear algebra. This is, in particular, the case in graph theory, of incidence matrices, and adjacency matrices. ''This article focuses on matrices related to linear algebra, and, unle ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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Henry John Stephen Smith
Prof Henry John Stephen Smith Royal Society of London, FRS FRSE Royal Astronomical Society, FRAS LLD (2 November 1826 – 9 February 1883) was an Irish mathematician and amateur astronomer remembered for his work in elementary divisors, quadratic forms, and Smith–Minkowski–Siegel mass formula in number theory. In Matrix (mathematics), matrix theory he is visible today in having his name on the Smith normal form of a Matrix (mathematics), matrix. Smith was also first to discover the Cantor set. Life Smith was born in Dublin, Ireland, the fourth child of John Smith (1792–1828), a barrister, who died when Henry was two. His mother, Mary Murphy (d.1857) from Bantry Bay, very soon afterwards moved the family to England. He had thirteen siblings, including Eleanor Smith (activist), Eleanor Smith, who became a prominent educational activist. He lived in several places in England as a boy. His mother did not send him to school but educated him herself until age 11, at which poin ...
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Lewis Carroll
Charles Lutwidge Dodgson (; 27 January 1832 – 14 January 1898), better known by his pen name Lewis Carroll, was an English author, poet and mathematician. His most notable works are ''Alice's Adventures in Wonderland'' (1865) and its sequel ''Through the Looking-Glass'' (1871). He was noted for his facility with word play, logic, and fantasy. His poems ''Jabberwocky'' (1871) and ''The Hunting of the Snark'' (1876) are classified in the genre of literary nonsense. Carroll came from a family of high-church Anglicanism, Anglicans, and developed a long relationship with Christ Church, Oxford, where he lived for most of his life as a scholar and teacher. Alice Liddell, the daughter of Christ Church's dean Henry Liddell, is widely identified as the original inspiration for ''Alice in Wonderland'', though Carroll always denied this. An avid puzzler, Carroll created the word ladder puzzle (which he then called "Doublets"), which he published in his weekly column for ''Vanity Fair ( ...
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Infinity
Infinity is that which is boundless, endless, or larger than any natural number. It is often denoted by the infinity symbol . Since the time of the ancient Greeks, the philosophical nature of infinity was the subject of many discussions among philosophers. In the 17th century, with the introduction of the infinity symbol and the infinitesimal calculus, mathematicians began to work with infinite series and what some mathematicians (including l'Hôpital and Bernoulli) regarded as infinitely small quantities, but infinity continued to be associated with endless processes. As mathematicians struggled with the foundation of calculus, it remained unclear whether infinity could be considered as a number or magnitude and, if so, how this could be done. At the end of the 19th century, Georg Cantor enlarged the mathematical study of infinity by studying infinite sets and infinite numbers, showing that they can be of various sizes. For example, if a line is viewed as the set of all o ...
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John Wallis
John Wallis (; la, Wallisius; ) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is credited with introducing the symbol ∞ to represent the concept of infinity. He similarly used 1/∞ for an infinitesimal. John Wallis was a contemporary of Newton and one of the greatest intellectuals of the early renaissance of mathematics. Biography Educational background * Cambridge, M.A., Oxford, D.D. * Grammar School at Tenterden, Kent, 1625–31. * School of Martin Holbeach at Felsted, Essex, 1631–2. * Cambridge University, Emmanuel College, 1632–40; B.A., 1637; M.A., 1640. * D.D. at Oxford in 1654 Family On 14 March 1645 he married Susanna Glynde ( – 16 March 1687). They had three children: # Anne Blencoe (4 June 1656 – 5 April 1718), married Sir John Blencowe (30 November 1642 – 6 May 1726) in 1 ...
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