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Eric Charles Milner
Eric Charles Milner, FRSC (May 17, 1928 – July 20, 1997) was a mathematician who worked mainly in combinatorial set theory. Biography Born into a South East London working-class family, Milner was sent to a Reading boarding school for the war but, hating it, ran away and roamed the streets of London. Eventually, another school was found for him; Milner attended King's College London starting in 1946, where he competed as a featherweight boxer. He graduated in 1949 as the best mathematics student in his year, and received a master's degree in 1950 under the supervision of Richard Rado and Charles Coulson. Partial deafness prevented him from joining the Navy, and instead, in 1951, he took a position with the Straits Trading Company in Singapore assaying tin. Soon thereafter he joined the mathematics faculty at the University of Malaya in Singapore, where Alexander Oppenheim and Richard K. Guy were already working. In 1958, Milner took a sabbatical at the University of Reading, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Of Canada
The Royal Society of Canada (RSC; french: Société royale du Canada, SRC), also known as the Academies of Arts, Humanities and Sciences of Canada (French: ''Académies des arts, des lettres et des sciences du Canada''), is the senior national, bilingual council of distinguished Canadian scholars, humanists, scientists and artists. The primary objective of the RSC is to promote learning and research in the arts, the humanities and the sciences. The RSC is Canada's National Academy and exists to promote Canadian research and scholarly accomplishment in both official languages, to recognize academic and artistic excellence, and to advise governments, non-governmental organizations and Canadians on matters of public interest. History In the late 1870s, the Governor General of Canada, the Marquis of Lorne, determined that Canada required a cultural institution to promote national scientific research and development. Since that time, succeeding Governor Generals have remained involved w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of London
The University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degree-awarding examination board for students holding certificates from University College London and King's College London and "other such other Institutions, corporate or unincorporated, as shall be established for the purpose of Education, whether within the Metropolis or elsewhere within our United Kingdom". This fact allows it to be one of three institutions to claim the title of the third-oldest university in England, and moved to a federal structure in 1900. It is now incorporated by its fourth (1863) royal charter and governed by the University of London Act 2018. It was the first university in the United Kingdom to introduce examinations for women in 1869 and, a decade later, the first to admit women to degrees. In 1913, it appointe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alumni Of King's College London
This list of King's College London alumni comprises notable graduates as well as non-graduate former, and current, students. It also includes those who may be considered alumni by extension, having studied at institutions later merged with King's College London. It does not include those whose only connection with the college is (i) being a member of the staff or (ii) the conferral of an honorary degree or honorary fellowship. Government and politics Heads of state and government United Kingdom Current Members of the House of Commons *Imran Ahmad Khan – Independent MP *Alex Burghart – Conservative MP *Mark Francois – Conservative MP * John Glen – Conservative MP *Dan Jarvis – Labour MP and also Mayor of the Sheffield City Region * Fay Jones – Conservative MP *Brandon Lewis – Conservative MP *Gagan Mohindra – Conservative MP *Matthew Offord – Conservative MP *Sarah Olney – Liberal Democrat MP *Dan Poulter – Conservative MP *Lucy Powell – Labour MP *Bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1997 Deaths
File:1997 Events Collage.png, From left, clockwise: The movie set of ''Titanic'', the highest-grossing movie in history at the time; ''Harry Potter and the Philosopher's Stone'', is published; Comet Hale-Bopp passes by Earth and becomes one of the most observed comets of the 20th century; Golden Bauhinia Square, where sovereignty of Hong Kong is handed over from the United Kingdom to the People's Republic of China; the 1997 Central European flood kills 114 people in the Czech Republic, Poland, and Germany; Korean Air Flight 801 crashes during heavy rain on Guam, killing 229; Mars Pathfinder and Sojourner land on Mars; flowers left outside Kensington Palace following the death of Diana, Princess of Wales, in a car crash in Paris., 300x300px, thumb rect 0 0 200 200 Titanic (1997 film) rect 200 0 400 200 Harry Potter rect 400 0 600 200 Comet Hale-Bopp rect 0 200 300 400 Death of Diana, Princess of Wales rect 300 200 600 400 Handover of Hong Kong rect 0 400 200 600 Mars Pathfind ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1928 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Milner–Rado Paradox
In set theory, a branch of mathematics, the Milner – Rado paradox, found by , states that every ordinal number \alpha less than the successor \kappa^ of some cardinal number \kappa can be written as the union of sets X_1, X_2,... where X_n is of order type at most ''κ''''n'' for ''n'' a positive integer. Proof The proof is by transfinite induction. Let ''\alpha'' be a limit ordinal (the induction is trivial for successor ordinals), and for each ''\beta<\alpha'', let '''' be a partition of '''' satisfying the requirements of the theorem. Fix an increasing sequence cofinal in with . Note . Define: : Observe that: : |
Ramsey Theory
Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of mathematics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some structure be to guarantee that a particular property holds?" More specifically, Ron Graham described Ramsey theory as a "branch of combinatorics". Examples A typical result in Ramsey theory starts with some mathematical structure that is then cut into pieces. How big must the original structure be in order to ensure that at least one of the pieces has a given interesting property? This idea can be defined as partition regularity. For example, consider a complete graph of order ''n''; that is, there are ''n'' vertices and each vertex is connected to every other vertex by an edge. A complete graph of order 3 is called a triangle. Now colour each edge either red or blue. How large must ''n'' be in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arrow Notation (Ramsey Theory)
In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied include continuous graphs and trees, extensions of Ramsey's theorem, and Martin's axiom. Recent developments concern combinatorics of the continuum and combinatorics on successors of singular cardinals.Todd Eisworth, ''Successors of Singular Cardinals'' Chapter 15 in Handbook of Set Theory, edited by Matthew Foreman and Akihiro Kanamori, Springer, 2010 Ramsey theory for infinite sets Write κ, λ for ordinals, ''m'' for a cardinal number and ''n'' for a natural number. introduced the notation :\kappa\rightarrow(\lambda)^n_m as a shorthand way of saying that every partition of the set sup>''n'' of ''n''-element subsets of \kappa into ''m'' pieces has a homogeneous set of order type λ. A homogeneous set is in this case a subset of κ such that every ''n''-element subset is in the same element of the partition. When ''m'' is 2 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chen Chung Chang
Chen Chung Chang (Chinese: 张晨钟) was a mathematician who worked in model theory. He obtained his PhD from Berkeley in 1955 on "Cardinal and Ordinal Factorization of Relation Types" under Alfred Tarski. He wrote the standard text on model theory. Chang's conjecture and Chang's model are named after him. He also proved the ordinal partition theorem (expressed in the arrow notation for Ramsey theory) ωω→(ωω,3)2, originally a problem of Erdős and Hajnal. He also introduced MV-algebras as models for Łukasiewicz logic. Chang was a professor at the mathematics department of the University of California, Los Angeles The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California St .... Selected publications * * * C. C. Chang. Algebraic analysis of many-valued logics. Transactions of the Am ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
András Hajnal
András Hajnal (May 13, 1931 – July 30, 2016) was a professor of mathematics at Rutgers University and a member of the Hungarian Academy of Sciences known for his work in set theory and combinatorics. Biography Hajnal was born on 13 May 1931,Curriculum vitae in , . He received his university diploma (M.Sc. degree) in 1953 from the , his |
Paul Erdős
Paul Erdős ( hu, Erdős Pál ; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory, set theory, and probability theory. Much of his work centered around discrete mathematics, cracking many previously unsolved problems in the field. He championed and contributed to Ramsey theory, which studies the conditions in which order necessarily appears. Overall, his work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics. Erdős published around 1,500 mathematical papers during his lifetime, a figure that remains unsurpassed. He firmly believed mathematics to be a social activity, living an itinerant lifestyle with the sole purpose of writing mathematical papers with other mathem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vancouver
Vancouver ( ) is a major city in western Canada, located in the Lower Mainland region of British Columbia. As the List of cities in British Columbia, most populous city in the province, the 2021 Canadian census recorded 662,248 people in the city, up from 631,486 in 2016. The Greater Vancouver, Greater Vancouver area had a population of 2.6million in 2021, making it the List of census metropolitan areas and agglomerations in Canada#List, third-largest metropolitan area in Canada. Greater Vancouver, along with the Fraser Valley Regional District, Fraser Valley, comprises the Lower Mainland with a regional population of over 3 million. Vancouver has the highest population density in Canada, with over 5,700 people per square kilometre, and fourth highest in North America (after New York City, San Francisco, and Mexico City). Vancouver is one of the most Ethnic origins of people in Canada, ethnically and Languages of Canada, linguistically diverse cities in Canada: 49.3 percent of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
