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Bourbaki Seminar
Bourbaki(s) may refer to : Persons and science * Charles-Denis Bourbaki (1816–1897), French general, son of Constantin Denis Bourbaki * Colonel Constantin Denis Bourbaki (1787–1827), officer in the Greek War of Independence and serving in the French military * Nicolas Bourbaki, the collective pseudonym of a group of French mathematicians ** Séminaire Nicolas Bourbaki and its follow-ups *** Séminaire Nicolas Bourbaki (1950–1959) *** Séminaire Nicolas Bourbaki (1960–1969) ** Bourbaki–Witt theorem ** Bourbaki–Alaoglu theorem ** Jacobson–Bourbaki theorem * Nikolaos Bourbakis, computer scientist Other * A place in Algeria, now known as Khemisti, near Aïn-Tourcia and the site of ancient city and former bishopric Columnata * Bourbaki dangerous bend symbol The dangerous bend or caution symbol ☡ () was created by the Nicolas Bourbaki group of mathematicians and appears in the margins of mathematics books written by the group. It resembles a road sign that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles-Denis Bourbaki
Charles Denis Sauter Bourbaki (22 April 1816, Pau – 22 September 1897, Bayonne) was a French general. Career Bourbaki was born at Pau, the son of Greek colonel Constantin Denis Bourbaki, who died in the War of Independence in 1827. He was educated at the Prytanée National Militaire, entered St Cyr, and in 1836 joined the ''Zouaves'', becoming lieutenant of the Foreign Legion in 1838 and ''aide-de-camp'' to King Louis Philippe. Early commands It was in the African expedition that Bourbaki first came to the front. In 1842 he was captain in the ''Zouaves''; 1847, colonel of the ''Turcos''; in 1850, lieutenant-colonel of the 1st ''Zouaves''; 1851, colonel; 1854, brigadier-general. In the Crimean War he commanded a portion of the Algerian troops; and at the Alma, Inkerman and Sevastopol Bourbaki's name became famous. In 1857 he was made general of division, commanding in 1859 at Lyon. His success in the war in Italy was second only to that of MacMahon, and in 1862 he w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Constantin Denis Bourbaki
Colonel Constantin Denis Bourbaki ( el, Διονύσιος Βούρβαχης, Dionysios Vourvachis; 1787 – 8 February 1827) was a Greek officer educated in France, and serving in the French military. He fought in the last phases of the Napoleonic Wars, and after 1825, joined the Greek War of Independence. He was killed in 1827 following his defeat at the Battle of Kamatero. He is the father of French General Charles Denis Bourbaki. Biography Early life Bourbaki was born on the island of Kefalonia in 1787. He was the son of Konstantinos-Sotirios Vourvachis, a Greek of Cretan extraction who was forced to relocate to Kephalonia. Thanks to his father's influence with Napoleon, he was able to join the military academy at Fontainebleau (which was later relocated to St Cyr). He graduated from the academy in 1804. Career under Napoleon and retirement Following his graduation, he took part in several conflicts of the Napoleonic Wars, and was appointed aide-de-camp to Joseph Bona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicolas Bourbaki
Nicolas Bourbaki () is the collective pseudonym of a group of mathematicians, predominantly French alumni of the École normale supérieure (Paris), École normale supérieure - PSL (ENS). Founded in 1934–1935, the Bourbaki group originally intended to prepare a new textbook in mathematical analysis, analysis. Over time the project became much more ambitious, growing into a large series of textbooks published under the Bourbaki name, meant to treat modern pure mathematics. The series is known collectively as the ''Éléments de mathématique'' (''Elements of Mathematics''), the group's central work. Topics treated in the series include set theory, abstract algebra, topology, analysis, Lie groups and Lie algebras. Bourbaki was founded in response to the effects of the First World War which caused the death of a generation of French mathematicians; as a result, young university instructors were forced to use dated texts. While teaching at the University of Strasbourg, Henri Carta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Séminaire Nicolas Bourbaki
The Séminaire Nicolas Bourbaki (Bourbaki Seminar) is a series of seminars (in fact public lectures with printed notes distributed) that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a barometer of mathematical achievement, fashion, and reputation. It is named after Nicolas Bourbaki, a group of French and other mathematicians of variable membership. The Poincaré Seminars are a series of talks on physics inspired by the Bourbaki seminars on mathematics. 1948/49 series # Henri Cartan, Les travaux de Koszul, I (Lie algebra cohomology) # Claude Chabauty, Le théorème de Minkowski-Hlawka ( Minkowski-Hlawka theorem) # Claude Chevalley, L'hypothèse de Riemann pour les corps de fonctions algébriques de caractéristique p, I, d'après Weil (local zeta-function) # Roger Godement, Groupe complexe unimodulaire, I : Les représentations unitaires irréductibles du groupe complexe unimodulaire, d'après Gelfand et Neumark (repr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Séminaire Nicolas Bourbaki (1950–1959)
Continuation of the Séminaire Nicolas Bourbaki The Séminaire Nicolas Bourbaki (Bourbaki Seminar) is a series of seminars (in fact public lectures with printed notes distributed) that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a baro ... programme, for the 1950s. 1950/51 series 1951/52 1952/53 1953/54 1954/55 1955/56 1956/57 1957/58 1958/59 1959/60 External linksSource list {{DEFAULTSORT:Seminaire Nicolas Bourbaki (1950-1959) * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Séminaire Nicolas Bourbaki (1960–1969)
Continuation of the Séminaire Nicolas Bourbaki The Séminaire Nicolas Bourbaki (Bourbaki Seminar) is a series of seminars (in fact public lectures with printed notes distributed) that has been held in Paris since 1948. It is one of the major institutions of contemporary mathematics, and a baro ... programme, for the 1960s. 1960/61 series 1961/62 1962–63 1963–64 1964–65 External linksSource list {{DEFAULTSORT:Seminaire Nicolas Bourbaki (1960-1969) * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bourbaki–Witt Theorem
In mathematics, the Bourbaki–Witt theorem in order theory, named after Nicolas Bourbaki and Ernst Witt, is a basic fixed point theorem for partially ordered sets. It states that if ''X'' is a non-empty chain complete poset, and f : X \to X such that f (x) \geq x for all x, then ''f'' has a fixed point. Such a function ''f'' is called ''inflationary'' or ''progressive''. Special case of a finite poset If the poset ''X'' is finite then the statement of the theorem has a clear interpretation that leads to the proof. The sequence of successive iterates, : x_=f(x_n), n=0,1,2,\ldots, where ''x''0 is any element of ''X'', is monotone increasing. By the finiteness of ''X'', it stabilizes: : x_n=x_, for ''n'' sufficiently large. It follows that ''x''∞ is a fixed point of ''f''. Proof of the theorem Pick some y \in X. Define a function ''K'' recursively on the ordinals as follows: :\,K(0) = y :\,K( \alpha+1 ) = f( K( \alpha ) ). If \beta is a limit ordinal, then b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobson–Bourbaki Theorem
In algebra, the Jacobson–Bourbaki theorem is a theorem used to extend Galois theory to field extensions that need not be separable. It was introduced by for commutative field (mathematics), fields and extended to non-commutative fields by , and who credited the result to unpublished work by Nicolas Bourbaki. The extension of Galois theory to normal extensions is called the Jacobson–Bourbaki correspondence, which replaces the correspondence between some Field extension, subfields of a field and some subgroups of a Galois group by a correspondence between some sub division rings of a division ring and some subalgebras of an associative algebra. The Jacobson–Bourbaki theorem implies both the usual Galois correspondence for subfields of a Galois extension, and Jacobson's Galois correspondence for subfields of a purely inseparable extension of exponent at most 1. Statement Suppose that ''L'' is a division ring. The Jacobson–Bourbaki theorem states that there is a natural 1:1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikolaos Bourbakis
Nikolaos G. Bourbakis (Νικόλαος Μπουρμπάκης; born 1950 in Chania, Crete) is a Greek computer scientist known for his work in image processing. , he is Ohio Board of Regents Distinguished Professor of Information Technology and director of both the Information Technology Research Institute and the Assistive Technologies Research at Wright State University in Ohio, United States. He is the founder and editor-in-chief () of the '' International Journal on Artificial Intelligence Tools''. Bourbakis studied mathematics at the National and Kapodistrian University of Athens, then electrical engineering at the University of Patras, which awarded him a PhD in computer engineering and informatics in 1983. Bourbakis received the IEEE Computer Society Technical Achievement Award in 1998 " r outstanding and pioneering contributions to space filling curves for image processing and intelligent visual navigation of autonomous robot An autonomous robot is a robot ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Khemisti
Khemisti is a town and commune in Tissemsilt Province in northern Algeria. It was called Bourbaki when Algeria was a colony of France. History In Roman times, it was called Columnata and belonged to the Roman province of Mauretania Caesariensis. Bishop Martialis of Columnata was one of the Catholic bishops whom the Arian Vandal king Huneric summoned to Carthage in 484 and then exiled. No longer a residential bishopric, Columnata is today listed by the Catholic Church as a titular see A titular see in various churches is an episcopal see of a former diocese that no longer functions, sometimes called a "dead diocese". The ordinary or hierarch of such a see may be styled a "titular metropolitan" (highest rank), "titular archbish ....''Annuario Pontificio 2013'' (Libreria Editrice Vaticana 2013 ), p. 873 References Communes of Tissemsilt Province {{Tissemsilt-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columnata
Khemisti is a town and commune in Tissemsilt Province in northern Algeria. It was called Bourbaki when Algeria was a colony of France. History In Roman times, it was called Columnata and belonged to the Roman province of Mauretania Caesariensis. Bishop Martialis of Columnata was one of the Catholic bishops whom the Arian Vandal king Huneric summoned to Carthage in 484 and then exiled. No longer a residential bishopric, Columnata is today listed by the Catholic Church as a titular see A titular see in various churches is an episcopal see of a former diocese that no longer functions, sometimes called a "dead diocese". The ordinary or hierarch of such a see may be styled a "titular metropolitan" (highest rank), "titular archbish ....''Annuario Pontificio 2013'' (Libreria Editrice Vaticana 2013 ), p. 873 References Communes of Tissemsilt Province {{Tissemsilt-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
