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Douglas R. Woodall
Douglas Robert Woodall (born November 1943 in Stoke-on-Trent) is a British mathematician and psephologist. He studied mathematics at the University of Cambridge, and earned his Ph.D. at the University of Nottingham in 1969, his thesis being "Some results in combinatorial mathematics". He worked in the Department of Mathematics from 1969 until his retirement in 2007, as researcher, lecturer, associate professor and reader. He devised the later-no-harm criterion, a voting system criterion that is considered important in the comparison of electoral systems. Woodall has done a lot of work exploring the monotonicity criterion. He also contributed to the problem of fair cake-cutting, for example, by presenting an algorithm for finding a super-proportional division. Selected publications * * * * * See also *Woodall's conjecture on dicuts and dijoin In mathematics, a dijoin is a subset of the edges of a directed graph, with the property that contracting every edge in t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stoke-on-Trent
Stoke-on-Trent (often abbreviated to Stoke) is a city and Unitary authorities of England, unitary authority area in Staffordshire, England, with an area of . In 2019, the city had an estimated population of 256,375. It is the largest settlement in Staffordshire and is surrounded by the towns of Newcastle-under-Lyme, Alsager, Kidsgrove, Biddulph and Stone, Staffordshire, Stone, which form a conurbation around the city. Stoke is wikt:polycentric, polycentric, having been formed by Federation of Stoke-on-Trent, the federation of six towns in 1910. It took its name from Stoke-upon-Trent where the main centre of government and the principal Stoke-on-Trent railway station, railway station in the district were located. Hanley, Staffordshire, Hanley is the primary commercial centre; the other four towns which form the city are Burslem, Tunstall, Staffordshire, Tunstall, Longton, Staffordshire, Longton and Fenton, Staffordshire, Fenton. Stoke-on-Trent is the home of the pottery industr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dijoin
In mathematics, a dijoin is a subset of the edges of a directed graph, with the property that contracting every edge in the dijoin produces a strongly connected graph. Equivalently, a dijoin is a subset of the edges that, for every dicut, includes at least one edge crossing the dicut. Here, a dicut is a partition of the vertices into two subsets, so that each edge that has an endpoint in both subsets is directed from the first subset to the second. Woodall's conjecture, an unsolved problem in this area, states that in any directed graph the minimum number of edges in a dicut (the unweighted minimum closure) equals the maximum number of disjoint dijoins that can be found in the graph (a packing of dijoins). A fractional weighted version of the conjecture, posed by Jack Edmonds and Rick Giles, was refuted by Alexander Schrijver. The Lucchesi–Younger theorem states that the minimum size of a dijoin, in any given directed graph, equals the maximum number of disjoint dicuts that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academics Of The University Of Nottingham
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 accumulation, de ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of The University Of Nottingham
A list of people related to the University of Nottingham or to its predecessor, University College, Nottingham. Office holders Chancellors * John Boot, 2nd Baron Trent (1949 - 1954) * William Cavendish-Bentinck, 7th Duke of Portland (1954 - 1971) * Sir Francis Hill (1971 - 1978) * Sir Gordon Hobday (1978 - 1993) * Ronald Dearing, Baron Dearing (1993 - 2000) * Fujia Yang (2000 - 2012) * Sir Andrew Witty (2013–2017) * Baroness Young of Hornsey (2020–present) Vice-Chancellors * Bertrand Hallward (1948 - 1965) * Frederick Dainton, Baron Dainton (1965 - 1970) * John Butterfield, Baron Butterfield (1971 - 1975) * Basil Weedon (1976 - 1988) * Sir Colin Campbell (1988 - 2008) * Sir David Greenaway (2008 - September 2017) * Shearer West (October 2017 – present) Notable alumni Academia * Bob Boucher – Vice-Chancellor of the University of Sheffield * Arthur Carty – National Science Advisor to the Prime Minister of Canada * Sir Bernard Crossland – President of the Inst ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of The University Of Cambridge
Alumni (singular: alumnus (masculine) or alumna (feminine)) are former students of a school, college, or university who have either attended or graduated in some fashion from the institution. The feminine plural alumnae is sometimes used for groups of women. The word is Latin and means "one who is being (or has been) nourished". The term is not synonymous with "graduate"; one can be an alumnus without graduating ( Burt Reynolds, alumnus but not graduate of Florida State, is an example). The term is sometimes used to refer to a former employee or member of an organization, contributor, or inmate. Etymology The Latin noun ''alumnus'' means "foster son" or "pupil". It is derived from PIE ''*h₂el-'' (grow, nourish), and it is a variant of the Latin verb ''alere'' "to nourish".Merriam-Webster: alumnus .. Separate, but from the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
British Mathematicians
British may refer to: Peoples, culture, and language * British people, nationals or natives of the United Kingdom, British Overseas Territories, and Crown Dependencies. ** Britishness, the British identity and common culture * British English, the English language as spoken and written in the United Kingdom or, more broadly, throughout the British Isles * Celtic Britons, an ancient ethno-linguistic group * Brittonic languages, a branch of the Insular Celtic language family (formerly called British) ** Common Brittonic, an ancient language Other uses *'' Brit(ish)'', a 2018 memoir by Afua Hirsch *People or things associated with: ** Great Britain, an island ** United Kingdom, a sovereign state ** Kingdom of Great Britain (1707–1800) ** United Kingdom of Great Britain and Ireland (1801–1922) See also * Terminology of the British Isles * Alternative names for the British * English (other) * Britannic (other) * British Isles * Brit (other) * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Voting Theorists
Voting is a method by which a group, such as a meeting or an electorate, can engage for the purpose of making a collective decision or expressing an opinion usually following discussions, debates or election campaigns. Democracies elect holders of high office by voting. Residents of a jurisdiction represented by an elected official are called "constituents," and the constituents who choose to cast a ballot for their chosen candidate are called "voters." There are different systems for collecting votes, but while many of the systems used in decision-making can also be used as electoral systems, any which cater for proportional representation can only be used in elections. In smaller organizations, voting can occur in many different ways. Formally via ballot to elect others for example within a workplace, to elect members of political associations or to choose roles for others. Informally voting could occur as a spoken agreement or as a verbal gesture like a raised hand or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Psephologists
Psephology (; from Greek el, ψῆφος, psephos, pebble, label=none) or political analysis is a branch of political science, the "quantitative analysis of elections and balloting". As such, psephology attempts to explain elections using the scientific method. Psephology is related to political forecasting. Psephology uses historical precinct voting data, public opinion polls, campaign finance information and similar statistical data. The term was coined in 1948 in the United Kingdom by W. F. R. Hardie (1902–1990) after he was asked by his friend R. B. McCallum for a word to describe the study of elections; first written use in 1952. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1943 Births
Events Below, the events of World War II have the "WWII" prefix. January * January 1 – WWII: The Soviet Union announces that 22 German divisions have been encircled at Stalingrad, with 175,000 killed and 137,650 captured. * January 4 – WWII: Greek-Polish athlete and saboteur Jerzy Iwanow-Szajnowicz is executed by the Germans at Kaisariani. * January 11 ** The United States and United Kingdom revise previously unequal treaty relationships with the Republic of China (1912–1949), Republic of China. ** Italian-American anarchist Carlo Tresca is assassinated in New York City. * January 13 – Anti-Nazi protests in Sofia result in 200 arrests and 36 executions. * January 14 – January 24, 24 – WWII: Casablanca Conference: Franklin D. Roosevelt, President of the United States; Winston Churchill, Prime Minister of the United Kingdom; and Generals Charles de Gaulle and Henri Giraud of the Free French forces meet secretly at the Anfa Hotel in Casablanca, Morocco, to plan the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Directed Graph
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs. Definition In formal terms, a directed graph is an ordered pair where * ''V'' is a set whose elements are called '' vertices'', ''nodes'', or ''points''; * ''A'' is a set of ordered pairs of vertices, called ''arcs'', ''directed edges'' (sometimes simply ''edges'' with the corresponding set named ''E'' instead of ''A''), ''arrows'', or ''directed lines''. It differs from an ordinary or undirected graph, in that the latter is defined in terms of unordered pairs of vertices, which are usually called ''edges'', ''links'' or ''lines''. The aforementioned definition does not allow a directed graph to have multiple arrows with the same source and target nodes, but some authors consider a broader definition that allows directed graphs to have such multiple arcs (namely, they allow the arc set to be a m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
