Jean Ville
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Jean Ville
Jean Ville, also known under the names Jean-André Ville et André Ville, born 24 June 1910 in Marseille, died 22 January 1989 in Blois, was a French mathematician. He is known for having proved an extension of von Neumman's minimax theorem, as well as contributions in the fields of statistics and economics. He was one of the pioneers of the theory of martingales. Life Jean André Ville was the son of Jean Baptiste Ville (1871-1927) and Marie Vernet (1876-1955), both from families from Mosset in Pyrénées-Orientales.Jean Pares'' Jean André Ville (1910-1989) mathematician. Le savant de Mosset '' His first name was that of his godfather and uncle, Jean Ville, the second, that of his grandfather, André Vernet. André was the first name used in the family, but in his professional life, he used Jean. Bernard d'Orgeval, a classmate, writes in the directory of former students of the ENS 1992 "very discreet about his private life, discretion marked by the use of the first name Jean ...
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Marseille
Marseille ( , , ; also spelled in English as Marseilles; oc, Marselha ) is the prefecture of the French department of Bouches-du-Rhône and capital of the Provence-Alpes-Côte d'Azur region. Situated in the camargue region of southern France, it is located on the coast of the Gulf of Lion, part of the Mediterranean Sea, near the mouth of the Rhône river. Its inhabitants are called ''Marseillais''. Marseille is the second most populous city in France, with 870,731 inhabitants in 2019 (Jan. census) over a municipal territory of . Together with its suburbs and exurbs, the Marseille metropolitan area, which extends over , had a population of 1,873,270 at the Jan. 2019 census, the third most populated in France after those of Paris and Lyon. The cities of Marseille, Aix-en-Provence, and 90 suburban municipalities have formed since 2016 the Aix-Marseille-Provence Metropolis, an Indirect election, indirectly elected Métropole, metropolitan authority now in charge of wider metropo ...
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Blois
Blois ( ; ) is a commune and the capital city of Loir-et-Cher department, in Centre-Val de Loire, France, on the banks of the lower Loire river between Orléans and Tours. With 45,898 inhabitants by 2019, Blois is the most populated city of the department, and the 4th of the region. Historically, the city was the capital of the county of Blois, created on 832 until its integration into the Royal domain in 1498, when Count Louis II of Orléans became King Louis XII of France. During the Renaissance, Blois was the official residence of the King of France. History Pre-history Since 2013, excavations have been conducted by French National Institute of Preventive Archaeological Research (''INRAP'' in French) in Vienne where they found evidence of "one or several camps of late Prehistory hunter-gatherers, who were also fishermen since fishing traps were found there.. ..They were ancestors of the famous Neolithic farmer-herders, who were present in current France around 6,000 BC ...
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Von Neumman's Minimax Theorem
In the mathematical area of game theory, a minimax theorem is a theorem providing conditions that guarantee that the max–min inequality is also an equality. The first theorem in this sense is von Neumann's minimax theorem from 1928, which was considered the starting point of game theory. Since then, several generalizations and alternative versions of von Neumann's original theorem have appeared in the literature. Zero-sum games The minimax theorem was first proven and published in 1928 by John von Neumann, who is quoted as saying "''As far as I can see, there could be no theory of games ... without that theorem ... I thought there was nothing worth publishing until the Minimax Theorem was proved''". Formally, von Neumann's minimax theorem states: Let X \subset \mathbb^n and Y \subset \mathbb^m be compact convex sets. If f: X \times Y \rightarrow \mathbb is a continuous function that is concave-convex, i.e. : f(\cdot,y): X \to \mathbb is concave for fixed y, and : f(x,\cdo ...
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Martingale (probability Theory)
In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time, the conditional expectation of the next value in the sequence is equal to the present value, regardless of all prior values. History Originally, '' martingale'' referred to a class of betting strategies that was popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins their stake if a coin comes up heads and loses it if the coin comes up tails. The strategy had the gambler double their bet after every loss so that the first win would recover all previous losses plus win a profit equal to the original stake. As the gambler's wealth and available time jointly approach infinity, their probability of eventually flipping heads approaches 1, which makes the martingale betting strategy seem like a sure thing. However, the exponential growth of the bets eventually bankrupts its users due to f ...
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Mosset
Mosset () is a commune in the Pyrénées-Orientales department in southern France. Geography Mosset is located in the canton of Les Pyrénées catalanes and in the arrondissement of Prades. Population See also *Communes of the Pyrénées-Orientales department The Pyrénées-Orientales department is composed of 226 communes. Most of the territory (except for the district of Fenolheda) formed part of the Principality of Catalonia until 1659, and Catalan is still spoken (in addition to French) by a ... References Communes of Pyrénées-Orientales Plus Beaux Villages de France {{PyrénéesOrientales-geo-stub ...
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Pyrénées-Orientales
Pyrénées-Orientales (; ca, Pirineus Orientals ; oc, Pirenèus Orientals ; ), also known as Northern Catalonia, is a department of the region of Occitania, Southern France, adjacent to the northern Spanish frontier and the Mediterranean Sea. It also surrounds the tiny Spanish exclave of Llívia, and thus has two distinct borders with Spain. In 2019, it had a population of 479,979.Populations légales 2019: 66 Pyrénées-Orientales
INSEE
Some parts of the Pyrénées-Orientales (like the ) are part of the . It is na ...
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Bernard D'Orgeval
Bernard (''Bernhard'') is a French and West Germanic masculine given name. It is also a surname. The name is attested from at least the 9th century. West Germanic ''Bernhard'' is composed from the two elements ''bern'' "bear" and ''hard'' "brave, hardy". Its native Old English reflex was ''Beornheard'', which was replaced by the French form ''Bernard'' that was brought to England after the Norman Conquest. The name ''Bernhard'' was notably popular among Old Frisian speakers. Its wider use was popularized due to Saint Bernhard of Clairvaux (canonized in 1174). Bernard is the second most common surname in France. Geographical distribution As of 2014, 42.2% of all known bearers of the surname ''Bernard'' were residents of France (frequency 1:392), 12.5% of the United States (1:7,203), 7.0% of Haiti (1:382), 6.6% of Tanzania (1:1,961), 4.8% of Canada (1:1,896), 3.6% of Nigeria (1:12,221), 2.7% of Burundi (1:894), 1.9% of Belgium (1:1,500), 1.6% of Rwanda (1:1,745), 1.2% of Germany ( ...
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Lycée Thiers
In France, secondary education is in two stages: * ''Collèges'' () cater for the first four years of secondary education from the ages of 11 to 15. * ''Lycées'' () provide a three-year course of further secondary education for children between the ages of 15 and 18. Pupils are prepared for the ''baccalauréat'' (; baccalaureate, colloquially known as ''bac'', previously ''bachot''), which can lead to higher education studies or directly to professional life. There are three main types of ''baccalauréat'': the ''baccalauréat général'', ''baccalauréat technologique'' and ''baccalauréat professionnel''. School year The school year starts in early September and ends in early July. Metropolitan French school holidays are scheduled by the Ministry of Education by dividing the country into three zones (A, B, and C) to prevent overcrowding by family holidaymakers of tourist destinations, such as the Mediterranean coast and ski resorts. Lyon, for example, is in zone A, Marseille is ...
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École Normale Supérieure (Paris)
The ''École normale supérieure - PSL'' (; also known as ''ENS'', ''Normale sup, ''Ulm'' or ''ENS Paris'') is a ''grande école'' university in Paris, France. It is one of the constituent members of Paris Sciences et Lettres University (PSL). Originally conceived during the French Revolution, the school was founded in 1794 to provide homogeneous training of high-school teachers in France but it later closed. The school was subsequently reestablished by Napoleon I as ''pensionnat normal'' from 1808 to 1822, before being recreated in 1826 and taking the name of ''École normale'' in 1830. When institutes for primary teachers training called é''coles normales'' were created in 1845, the word ''supérieure'' (meaning upper) was added to form the current name. It has since developed into an institution which has become a platform for French students to pursue careers in government and academia. The ENS has a highly competitive selection process consisting of written and oral exami ...
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Cacique
A ''cacique'' (Latin American ; ; feminine form: ''cacica'') was a tribal chieftain of the Taíno people, the indigenous inhabitants at European contact of the Bahamas, the Greater Antilles, and the northern Lesser Antilles. The term is a Spanish transliteration of the Taíno word ''kasike''. Cacique was initially translated as "king" or "prince" for the Spanish. In the colonial era the conquistadors and the administrators who followed them used the word generically, to refer to any leader of practically any indigenous group they encountered in the Western Hemisphere. In Hispanic and Lusophone countries, the term also has come to mean a political boss, similar to ''caudillo,'' exercising power in a system of ''caciquismo''. Spanish colonial-era caciques The Taíno word ''kasike'' descends from the Taíno word ''kassiquan'', which means "to keep house". In 1555 the word first entered the English language, defined as "prince". In Taíno culture, the ''kasike'' rank was her ...
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Émile Borel
Félix Édouard Justin Émile Borel (; 7 January 1871 – 3 February 1956) was a French mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ... and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability. Biography Borel was born in Saint-Affrique, Aveyron, the son of a Protestant pastor. He studied at the Collège Sainte-Barbe and Lycée Louis-le-Grand before applying to both the École normale supérieure (Paris), École normale supérieure and the École Polytechnique. He qualified in the first position for both and chose to attend the former institution in 1889. That year he also won the concours général, an annual national mathematics competition. After graduating in 1892, he placed first in the agrégati ...
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1910 Births
Year 191 ( CXCI) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Apronianus and Bradua (or, less frequently, year 944 ''Ab urbe condita''). The denomination 191 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Parthia * King Vologases IV of Parthia dies after a 44-year reign, and is succeeded by his son Vologases V. China * A coalition of Chinese warlords from the east of Hangu Pass launches a punitive campaign against the warlord Dong Zhuo, who seized control of the central government in 189, and held the figurehead Emperor Xian hostage. After suffering some defeats against the coalition forces, Dong Zhuo forcefully relocates the imperial capital from Luoyang to Chang'an. Before leaving, Dong Zhuo orders his troops to loot the tombs of the Ha ...
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