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Bott is an English and German surname. Notable people with the surname include: * Catherine Bott (born 1952), English soprano * Charlie Bott (born 1941), English rugby player * Edward Alexander Bott (1887–1974), Canadian psychologist * Edward Charles Arden Bott (1924–2005), British physician * François Bott (1935–2022), French author * John Bott, English cricketer * Leon Bott (born 1986), Australian rugby league footballer * Leonidas Bott (1889–1969), Australian cricketer *Lloyd Bott (1917–2004), senior Australian public servant * Mark Bott (born 1986), English cricketer * Markus Bott (born 1962), German boxer * Martin Bott (1926–2018), English geophysicist *Nina Bott (born 1978), German actress * Randy L. Bott (born 1945), American academic *Raoul Bott (1923–2005), Hungarian-American mathematician *Richard Bott (born 1968), Canadian Protestant minister * Violet Elizabeth Bott, character in a Richmal Crompton novel. *Wilf Bott (1907–1992), English footballer See al ...
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English Language
English is a West Germanic language that developed in early medieval England and has since become a English as a lingua franca, global lingua franca. The namesake of the language is the Angles (tribe), Angles, one of the Germanic peoples that Anglo-Saxon settlement of Britain, migrated to Britain after its End of Roman rule in Britain, Roman occupiers left. English is the list of languages by total number of speakers, most spoken language in the world, primarily due to the global influences of the former British Empire (succeeded by the Commonwealth of Nations) and the United States. English is the list of languages by number of native speakers, third-most spoken native language, after Mandarin Chinese and Spanish language, Spanish; it is also the most widely learned second language in the world, with more second-language speakers than native speakers. English is either the official language or one of the official languages in list of countries and territories where English ...
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Nina Bott
Nina Bott (born 1 January 1978 in Hamburg) is a German actress. Career Acting Between August 1997 and September 2005, Bott played Cora Hinze Moreno on the popular German soap opera ''Gute Zeiten, schlechte Zeiten''. She then appeared in the period drama ''Unter den Linden – Das Haus Gravenhorst''. She then joined the soap opera ''Alles was zählt'' in 2008 as Celine Laffort, and stayed with the show for more than two years before leaving it with costar Norman Kalle. In March 2011, it was announced that Bott would join her third soap opera, '' Verbotene Liebe'', where, in June of that year, she began playing Julia von Anstetten, a re-casting of one of the show's original characters. Her story takes place on location in Mallorca. Other Bott appeared on the cover of the February, 2002 issue of Playboy magazine's German edition, in Playboy's February 2012 issue and appeared again Playboy's June 2017 issue. With Leonie Lutz, she cowrote a book about pregnancy, with Germany-r ...
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Bot (other)
Bot or BOT may refer to: Sciences Computing and technology * Chatbot, a computer program that converses in natural language * Internet bot, a software application that runs automated tasks (scripts) over the Internet **Spambot, an internet bot designed to assist in the sending of spam * Internet Relay Chat bot, a set of scripts or an independent program that connects to IRC as a client * Robot, or "bot", a mechanical device that can perform physical tasks * Social bot, a type of chatbot that is employed in social media networks to automatically generate messages **Twitter bot, a program used to produce automated posts on the Twitter microblogging service * Video game bot, a computer-controlled player or opponent * Wikipedia bot, an internet bot which performs tasks in Wikipedia * Zombie computer, part of a botnet Biology and medicine * BOT, base of tongue, in medicine * Bot, the lesion caused by a botfly larva * Borderline ovarian tumor, a tumor of the ovaries Places * Bni ...
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Bott Residue Formula
In mathematics, the Bott residue formula, introduced by , describes a sum over the fixed points of a holomorphic vector field of a compact complex manifold. Statement If ''v'' is a holomorphic vector field on a compact complex manifold ''M'', then : \sum_\frac = \int_M P(i\Theta/2\pi) where *The sum is over the fixed points ''p'' of the vector field ''v'' *The linear transformation ''A''''p'' is the action induced by ''v'' on the holomorphic tangent space at ''p'' *''P'' is an invariant polynomial function of matrices of degree dim(''M'') *Θ is a curvature matrix of the holomorphic tangent bundle See also *Atiyah–Bott fixed-point theorem * Holomorphic Lefschetz fixed-point formula References * *{{Citation , last1=Griffiths , first1=Phillip , author1-link=Phillip Griffiths , last2=Harris , first2=Joseph , author2-link=Joe Harris (mathematician) , title=Principles of algebraic geometry , publisher=John Wiley & Sons John Wiley & Sons, Inc., commonly known as Wiley ...
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Bott Periodicity Theorem
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by , which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity can be formulated in numerous ways, with the periodicity in question always appearing as a period-2 phenomenon, with respect to dimension, for the theory associated to the unitary group. See for example topological K-theory. There are corresponding period-8 phenomena for the matching theories, (real number, real) KO-theory and (quaternionic) KSp-theory, associated to the real orthogonal group and the quaternionic symplectic group, respectively. The J-homomorphism is a homomorphism from the homotopy groups of orthogonal groups to stable homotopy groups of spheres, which causes the period 8 Bott periodicity to be visible in the stable homotopy groups of sph ...
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Borel–Weil–Bott Theorem
In mathematics, the Borel–Weil–Bott theorem is a basic result in the representation theory of Lie groups, showing how a family of representations can be obtained from holomorphic sections of certain complex vector bundles, and, more generally, from higher sheaf cohomology groups associated to such bundles. It is built on the earlier Borel–Weil theorem of Armand Borel and André Weil, dealing just with the space of sections (the zeroth cohomology group), the extension to higher cohomology groups being provided by Raoul Bott. One can equivalently, through Serre's GAGA, view this as a result in complex algebraic geometry in the Zariski topology. Formulation Let be a semisimple Lie group or algebraic group over \mathbb C, and fix a maximal torus along with a Borel subgroup which contains . Let be an integral weight of ; defines in a natural way a one-dimensional representation of , by pulling back the representation on , where is the unipotent radical of . Since we can ...
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Atiyah–Bott Fixed-point Theorem
In mathematics, the Atiyah–Bott fixed-point theorem, proven by Michael Atiyah and Raoul Bott in the 1960s, is a general form of the Lefschetz fixed-point theorem for smooth manifolds ''M'', which uses an elliptic complex on ''M''. This is a system of elliptic differential operators on vector bundles, generalizing the de Rham complex constructed from smooth differential forms which appears in the original Lefschetz fixed-point theorem. Formulation The idea is to find the correct replacement for the Lefschetz number, which in the classical result is an integer counting the correct contribution of a fixed point of a smooth mapping f\colon M \to M. Intuitively, the fixed points are the points of intersection of the graph of ''f'' with the diagonal (graph of the identity mapping) in M\times M, and the Lefschetz number thereby becomes an intersection number. The Atiyah–Bott theorem is an equation in which the LHS must be the outcome of a global topological (homological) calcu ...
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Wilf Bott
Wilfred Bott (25 April 1907 – July 1992) was an English professional footballer who played as a left winger in the Football League. Career Born in Featherstone, Yorkshire, to parents Frederick and Harriet, Bott played for Edlington Colliery Welfare before moving to Football League side Doncaster Rovers in 1927. In his time at Doncaster he scored 33 goals in 120 league and cup games, his last season being the most successful with 17 goals in 28 games including two hat−tricks within three games. His performances brought the attentions of other teams and led to his transfer for a reported "substantial fee" to First Division Huddersfield Town towards the end of the 1930−31 season. Following a very successful period at Huddersfield, Bott went on to have spells at Newcastle United, Queens Park Rangers, Colchester United and Lancaster Town. Honours Club ; Huddersfield Town * Football League First Division The Football League First Division was the top division of the ...
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Richmal Crompton
Richmal Crompton Lamburn (15 November 1890 – 11 January 1969) was a popular English writer, best known for her ''Just William (book series), Just William'' series of books, humorous short stories, and to a lesser extent adult fiction books. Life Richmal Crompton Lamburn was born in Bury, Lancashire, the second child of the Rev. Edward John Sewell Lamburn, a Classics Schoolmaster, master at Bury Grammar School and his wife Clara (née Crompton) Her brother, John Battersby Crompton Lamburn, also became a writer and is remembered under the name John Lambourne for his fantasy novel ''The Kingdom That Was'' (1931), and as a successful writer on natural science as John Crompton. Richmal also had a sister, Gwen, who was 18 months older, and a younger sister, Phyllis, who died of whooping cough at age 14 months. Richmal Crompton attended St Elphin's School, St Elphin's Boarding School for the daughters of the clergy, originally based in Warrington, Lancashire, where Gwen also was in ...
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Just William
''Just William'' is the first book of children's short stories about the young school boy William Brown, written by Richmal Crompton, and published in 1922. The book was the first in the series of William Brown books which was the basis for numerous television series, films and radio adaptations. ''Just William'' is also sometimes used as a title for the series of books as a whole, and is also the name of various television, film and radio adaptations of the books. The William stories first appeared in ''Home'' magazine and ''Happy Mag''. Short stories The book contains the following short stories: * William Goes to the Pictures – William's aunt gives him a shilling, so he buys sweets and goes to the cinema. On his way home he is obsessed with acting out what he has seen. * William the Intruder – William steals the attentions of his brother's new crush. * William Below Stairs – William runs away from home after reading a book about a boy who ran away and made a fortun ...
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Richard Bott
Richard Bott (born 1968) is a minister of the United Church of Canada who served as the 43rd Moderator of that church from 2018 to 2022. Early life and education Bott was born in Marathon, Ontario and grew up there. Following his graduation from high school, he attended University of Ottawa, where he earned his Bachelor of Social Sciences degree in 1990. He then earned his Master of Divinity (M.Div.) degree from Queen's University in 1994. Ministry Following his graduation, Bott was ordained as a minister of the United Church. Over the next 24 years he served at five churches in Ontario and British Columbia. During that time, he earned a Diploma in Stewardship Studies from Queen's Theological College (1996), a Certificate in Dispute Resolution from Laurentian University (1998) and a Doctor of Ministry from Ashland Theological Seminary (2003). In 2000, Bott also became a liturgical writer, publishing articles, prayers and liturgy in a variety of Christian publications. M ...
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Raoul Bott
Raoul Bott (September 24, 1923 – December 20, 2005) was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem, the Morse–Bott functions which he used in this context, and the Borel–Bott–Weil theorem. Early life Bott was born in Budapest, Kingdom of Hungary (1920–1946), Hungary, the son of Margit Kovács and Rudolph Bott. His father was of Austrian descent, and his mother was of Hungarian Jewish descent; Bott was raised a Catholic by his mother and stepfather in Bratislava, Czechoslovakia, now the capital of Slovakia. Bott grew up in Czechoslovakia and spent his working life in the United States. His family emigrated to Canada in 1938, and subsequently he served in the Canadian Forces, Canadian Army in Europe during World War II. Career Bott later went to college at McGill University in Montreal, where he studied electrical engineering. He then earned a PhD in math ...
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