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William Edward Hodgson Berwick
William Edward Hodgson Berwick (11 March 1888 in Dudley Hill, Bradford – 13 May 1944 in Bangor, Gwynedd) was a British mathematician, specializing in algebra, who worked on the problem of computing an integral basis for the algebraic integers in a simple algebraic extension of the rationals. Academic career Berwick was educated at a small private school before entering Bradford Grammar School. He completed his schooling in 1906, securing a Brown Scholarship to assist him in his university studies; he was also awarded an Entrance Scholarship by Clare College, Cambridge, where he went to study for the Mathematical Tripos. He took Part I of the degree in 1909, placing joint fourth in the class,Obituary
in J. London Math. Soc. 21 (1946) 74–80
and Part II in 1910. During his undergraduate years, under the tutelage of
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Bradford, England
Bradford is a city and the administrative centre of the City of Bradford district in West Yorkshire, England. The city is in the Pennines' eastern foothills on the banks of the Bradford Beck. Bradford had a population of 349,561 at the 2011 census; the second-largest population centre in the county after Leeds, which is to the east of the city. It shares a continuous built-up area with the towns of Shipley, Silsden, Bingley and Keighley in the district as well as with the metropolitan county's other districts. Its name is also given to Bradford Beck. It became a West Riding of Yorkshire municipal borough in 1847 and received its city charter in 1897. Since local government reform in 1974, the city is the administrative centre of a wider metropolitan district, city hall is the meeting place of Bradford City Council. The district has civil parishes and unparished areas and had a population of , making it the most populous district in England. In the century leading up ...
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University College Of Bangor
, former_names = University College of North Wales (1884–1996) University of Wales, Bangor (1996–2007) , image = File:Arms_of_Bangor_University.svg , image_size = 250px , caption = Arms Flag , motto = cy, Gorau Dawn Deall , mottoeng = "The Best Gift is Knowledge" , established = 1884 , type = Public , administrative_staff = , chancellor = George Meyrick , vice_chancellor = Edmund Burke , students = () , undergrad = () , postgrad = () , city = Bangor , state = , country = Wales , coordinates = , campus = Bangor , colours = , other_name = cy, Y Coleg ar y Bryn ("The College on the Hill") , affiliations = EUAUniversities UK University of Wales ACUHEA EIBFS , website bangor.ac.uk, logo ...
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St Andrews University
(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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Leeds
Leeds () is a city and the administrative centre of the City of Leeds district in West Yorkshire, England. It is built around the River Aire and is in the eastern foothills of the Pennines. It is also the third-largest settlement (by population) in England, after London and Birmingham. The city was a small manorial borough in the 13th century and a market town in the 16th century. It expanded by becoming a major production centre, including of carbonated water where it was invented in the 1760s, and trading centre (mainly with wool) for the 17th and 18th centuries. It was a major mill town during the Industrial Revolution. It was also known for its flax industry, iron foundries, engineering and printing, as well as shopping, with several surviving Victorian era arcades, such as Kirkgate Market. City status was awarded in 1893, a populous urban centre formed in the following century which absorbed surrounding villages and overtook the nearby York population. It is locate ...
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British Association For The Advancement Of Science
The British Science Association (BSA) is a charity and learned society founded in 1831 to aid in the promotion and development of science. Until 2009 it was known as the British Association for the Advancement of Science (BA). The current Chief Executive is Katherine Mathieson. The BSA's mission is to get more people engaged in the field of science by coordinating, delivering, and overseeing different projects that are suited to achieve these goals. The BSA "envisions a society in which a diverse group of people can learn and apply the sciences in which they learn." and is managed by a professional staff located at their Head Office in the Wellcome Wolfson Building. The BSA offers a wide variety of activities and events that both recognize and encourage people to be involved in science. These include the British Science Festival, British Science Week, the CREST Awards, Huxley Summit, Media Fellowships Scheme, along with regional and local events. History Foundation The Asso ...
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Chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to distinguish it from related games, such as xiangqi (Chinese chess) and shogi (Japanese chess). The recorded history of chess goes back at least to the emergence of a similar game, chaturanga, in seventh-century India. The rules of chess as we know them today emerged in Europe at the end of the 15th century, with standardization and universal acceptance by the end of the 19th century. Today, chess is one of the world's most popular games, played by millions of people worldwide. Chess is an abstract strategy game that involves no hidden information and no use of dice or cards. It is played on a chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player controls sixteen pieces: one king, one queen, two rooks, t ...
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Sufficient Condition
In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If then ", is necessary for , because the truth of is guaranteed by the truth of (equivalently, it is impossible to have without ). Similarly, is sufficient for , because being true always implies that is true, but not being true does not always imply that is not true. In general, a necessary condition is one that must be present in order for another condition to occur, while a sufficient condition is one that produces the said condition. The assertion that a statement is a "necessary ''and'' sufficient" condition of another means that the former statement is true if and only if the latter is true. That is, the two statements must be either simultaneously true, or simultaneously false. In ordinary English (also natural language) "necessary" and "sufficient" indicate relations betw ...
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Ring (mathematics)
In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. In other words, a ''ring'' is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers. Ring elements may be numbers such as integers or complex numbers, but they may also be non-numerical objects such as polynomials, square matrices, functions, and power series. Formally, a ''ring'' is an abelian group whose operation is called ''addition'', with a second binary operation called ''multiplication'' that is associative, is distributive over the addition operation, and has a multiplicative identity element. (Some authors use the term " " with a missing i to refer to the more general structure that omits this last requirement; see .) Whether a ring is commutative (that is, whether the order in which two elements are multiplied might change the result) has ...
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London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–5 ...
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University Of Leeds
, mottoeng = And knowledge will be increased , established = 1831 – Leeds School of Medicine1874 – Yorkshire College of Science1884 - Yorkshire College1887 – affiliated to the federal Victoria University1904 – University of Leeds , type = Public , endowment = £90.5 million , budget = £751.7 million , chancellor = Jane Francis , vice_chancellor = Simone Buitendijk , students = () , undergrad = () , postgrad = () , city = Leeds , province = West Yorkshire , country = England , campus = Urban, suburban , free_label = Newspaper , free = The Gryphon , colours = , website www.leeds.ac.uk, logo = Leeds University logo.svg , logo_size = 250 , administrative_staff = 9,200 , coor = , affiliations = The University of Leeds is a public research university in Leeds, West Yorkshire, England. It was established in 1874 as the Yorkshire College of Science. In 1884 it merged with the Leeds School of Medicine (established 1831) and was renam ...
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Portsmouth
Portsmouth ( ) is a port and city in the ceremonial county of Hampshire in southern England. The city of Portsmouth has been a unitary authority since 1 April 1997 and is administered by Portsmouth City Council. Portsmouth is the most densely populated city in the United Kingdom, with a population last recorded at 208,100. Portsmouth is located south-west of London and south-east of Southampton. Portsmouth is mostly located on Portsea Island; the only English city not on the mainland of Great Britain. Portsea Island has the third highest population in the British Isles after the islands of Great Britain and Ireland. Portsmouth also forms part of the regional South Hampshire conurbation, which includes the city of Southampton and the boroughs of Eastleigh, Fareham, Gosport, Havant and Waterlooville. Portsmouth is one of the world's best known ports, its history can be traced to Roman times and has been a significant Royal Navy dockyard and base for centuries. Portsm ...
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