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Gabriel Koenigs
Gabriel Xavier Paul Koenigs (17 January 1858 in Toulouse, France – 29 October 1931 in Paris, France) was a French mathematician who worked on analysis and geometry. He was elected as Secretary General of the Executive Committee of the International Mathematical Union after the first world war, and used his position to exclude countries with whom France had been at war from the mathematical congresses. He was awarded the Poncelet Prize for 1893. Publications * Koenigs G. Recherches sur les intégrals de certaines équations fontionnelles. Ann. École Normale, Suppl., 1884, (3)1. * * * * * See also * Koenigs function In mathematics, the Koenigs function is a function arising in complex analysis and dynamical systems. Introduced in 1884 by the French mathematician Gabriel Koenigs, it gives a canonical representation as dilations of a univalent holomorphic ma ... * Schröder's equation References * {{DEFAULTSORT:Koenigs, Gabriel Xavier Paul French mathematician ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brackets
A bracket is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket", respectively, depending on the Writing system#Directionality, directionality of the context. Specific forms of the mark include parentheses (also called "rounded brackets"), square brackets, curly brackets (also called 'braces'), and angle brackets (also called 'chevrons'), as well as various less common pairs of symbols. As well as signifying the overall class of punctuation, the word "bracket" is commonly used to refer to a specific form of bracket, which varies from region to region. In most English-speaking countries, an unqualified word "bracket" refers to the parenthesis (round bracket); in the United States, the square bracket. Glossary of mathematical sym ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toulouse
Toulouse ( , ; oc, Tolosa ) is the prefecture of the French department of Haute-Garonne and of the larger region of Occitania. The city is on the banks of the River Garonne, from the Mediterranean Sea, from the Atlantic Ocean and from Paris. It is the fourth-largest city in France after Paris, Marseille and Lyon, with 493,465 inhabitants within its municipal boundaries (2019 census); its metropolitan area has a population of 1,454,158 inhabitants (2019 census). Toulouse is the central city of one of the 20 French Métropoles, with one of the three strongest demographic growth (2013-2019). Toulouse is the centre of the European aerospace industry, with the headquarters of Airbus, the SPOT satellite system, ATR and the Aerospace Valley. It hosts the CNES's Toulouse Space Centre (CST) which is the largest national space centre in Europe, but also, on the military side, the newly created NATO space centre of excellence and the French Space Command and Space Academy. Thales ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
France
France (), officially the French Republic ( ), is a country primarily located in Western Europe. It also comprises of Overseas France, overseas regions and territories in the Americas and the Atlantic Ocean, Atlantic, Pacific Ocean, Pacific and Indian Oceans. Its Metropolitan France, metropolitan area extends from the Rhine to the Atlantic Ocean and from the Mediterranean Sea to the English Channel and the North Sea; overseas territories include French Guiana in South America, Saint Pierre and Miquelon in the North Atlantic, the French West Indies, and many islands in Oceania and the Indian Ocean. Due to its several coastal territories, France has the largest exclusive economic zone in the world. France borders Belgium, Luxembourg, Germany, Switzerland, Monaco, Italy, Andorra, and Spain in continental Europe, as well as the Kingdom of the Netherlands, Netherlands, Suriname, and Brazil in the Americas via its overseas territories in French Guiana and Saint Martin (island), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paris
Paris () is the capital and most populous city of France, with an estimated population of 2,165,423 residents in 2019 in an area of more than 105 km² (41 sq mi), making it the 30th most densely populated city in the world in 2020. Since the 17th century, Paris has been one of the world's major centres of finance, diplomacy, commerce, fashion, gastronomy, and science. For its leading role in the arts and sciences, as well as its very early system of street lighting, in the 19th century it became known as "the City of Light". Like London, prior to the Second World War, it was also sometimes called the capital of the world. The City of Paris is the centre of the Île-de-France region, or Paris Region, with an estimated population of 12,262,544 in 2019, or about 19% of the population of France, making the region France's primate city. The Paris Region had a GDP of €739 billion ($743 billion) in 2019, which is the highest in Europe. According to the Economist Intelli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Mathematical Union
The International Mathematical Union (IMU) is an international non-governmental organization devoted to international cooperation in the field of mathematics across the world. It is a member of the International Science Council (ISC) and supports the International Congress of Mathematicians. Its members are national mathematics organizations from more than 80 countries. The objectives of the International Mathematical Union (IMU) are: promoting international cooperation in mathematics, supporting and assisting the International Congress of Mathematicians (ICM) and other international scientific meetings/conferences, acknowledging outstanding research contributions to mathematics through the awarding of scientific prizes, and encouraging and supporting other international mathematical activities, considered likely to contribute to the development of mathematical science in any of its aspects, whether pure, applied, or educational. The IMU was established in 1920, but dissolved in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Poncelet Prize
The Poncelet Prize (french: Prix Poncelet) is awarded by the French Academy of Sciences. The prize was established in 1868 by the widow of General Jean-Victor Poncelet for the advancement of the sciences. It was in the amount of 2,000 francs (as of 1868), mostly for the work in applied mathematics. The precise wording of the announcement by the academy varied from year to year and required the work be "in mechanics", or "for work contributing to the progress of pure or applied mathematics", or simply "in applied mathematics", and sometimes included condition that the work must be "done during the ten years preceding the award." 19th century * (1868) Alfred Clebsch * (1869) Julius von Mayer * (1870) Camille Jordan * (1871) Joseph Boussinesq * (1872) Amédée Mannheim, "for the general excellence of his geometrical disquisitions." * (1873) William Thomson, "for his magnificent works on the mathematical theory of electricity and magnetism." * (1874) Jacques Bresse, "for his work i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Imprimerie Nationale
The Imprimerie nationale (), known also as IN Groupe brand, is a company specialized in the production of secure documents, such as identity cards and passports, and a supplier of public utility identification applications. Owned by the French state, its history dates back to the ''Manufacture royale d'imprimerie'' founded by Cardinal Richelieu. Its ''Président-directeur général'' (CEO) is Didier Trutt (since August 2009). History Succeeding the ''Imprimeurs du roi pour le Grec'' (royal Greek printers) created by François I in 1543 to publish literature, the Imprimerie royale was founded in 1640, by Louis XIII of France at the instigation of Cardinal Richelieu. Successive governments named it the ''Imprimerie de la République'', then the ''Imprimerie impériale'', the ''Imprimerie royale'' and finally the ''Imprimerie nationale''. The Imprimerie nationale has long been the exclusive printer for the state, until the law of 1994 which made it a limited company with the state ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Koenigs Function
In mathematics, the Koenigs function is a function arising in complex analysis and dynamical systems. Introduced in 1884 by the French mathematician Gabriel Koenigs, it gives a canonical representation as dilations of a univalent holomorphic mapping, or a semigroup of mappings, of the unit disk in the complex numbers into itself. Existence and uniqueness of Koenigs function Let ''D'' be the unit disk in the complex numbers. Let be a holomorphic function mapping ''D'' into itself, fixing the point 0, with not identically 0 and not an automorphism of ''D'', i.e. a Möbius transformation defined by a matrix in SU(1,1). By the Denjoy-Wolff theorem, leaves invariant each disk , ''z'' , < ''r'' and the iterates of converge uniformly on compacta to 0: in fact for 0 < < 1, : for , ''z'' , ≤ ''r'' with ''M''(''r'' ) < 1. Moreover '(0) = with 0 < , , < 1. proved that there is a unique holomorphic function ''h'' defined on ''D'', ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schröder's Equation
Schröder's equation, named after Ernst Schröder, is a functional equation with one independent variable: given the function , find the function such that Schröder's equation is an eigenvalue equation for the composition operator that sends a function to . If is a fixed point of , meaning , then either (or ) or . Thus, provided that is finite and does not vanish or diverge, the eigenvalue is given by . Functional significance For , if is analytic on the unit disk, fixes , and , then Gabriel Koenigs showed in 1884 that there is an analytic (non-trivial) satisfying Schröder's equation. This is one of the first steps in a long line of theorems fruitful for understanding composition operators on analytic function spaces, cf. Koenigs function. Equations such as Schröder's are suitable to encoding self-similarity, and have thus been extensively utilized in studies of nonlinear dynamics (often referred to colloquially as chaos theory). It is also used in studies of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Members Of The French Academy Of Sciences
Member may refer to: * Military jury, referred to as "Members" in military jargon * Element (mathematics), an object that belongs to a mathematical set * In object-oriented programming, a member of a class ** Field (computer science), entries in a database ** Member variable, a variable that is associated with a specific object * Limb (anatomy), an appendage of the human or animal body ** Euphemism for penis * Structural component of a truss, connected by nodes * User (computing), a person making use of a computing service, especially on the Internet * Member (geology), a component of a geological formation * Member of parliament * The Members, a British punk rock band * Meronymy, a semantic relationship in linguistics * Church membership, belonging to a local Christian congregation, a Christian denomination and the universal Church * Member, a participant in a club or learned society A learned society (; also learned academy, scholarly society, or academic association) is an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1858 Births
Events January–March * January – **Benito Juárez (1806–1872) becomes Liberal President of Mexico. At the same time, conservatives install Félix María Zuloaga (1813–1898) as president. **William I of Prussia becomes regent for his brother, Frederick William IV, who had suffered a stroke. * January 9 ** British forces finally defeat Rajab Ali Khan of Chittagong ** Anson Jones, the last president of the Republic of Texas, commits suicide. * January 14 – Orsini affair: Felice Orsini and his accomplices fail to assassinate Napoleon III in Paris, but their bombs kill eight and wound 142 people. Because of the involvement of French émigrés living in Britain, there is a brief anti-British feeling in France, but the emperor refuses to support it. * January 25 – The ''Wedding March'' by Felix Mendelssohn becomes a popular wedding recessional, after it is played on this day at the marriage of Queen Victoria's daughter Victoria, Princess Royal, to Pri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
