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René-Louis Baire
René-Louis Baire (; 21 January 1874 – 5 July 1932) was a French mathematician most famous for his Baire category theorem, which helped to generalize and prove future theorems. His theory was published originally in his dissertation ''Sur les fonctions de variables réelles'' ("On the Functions of Real Variables") in 1899. Education and career The son of a tailor, Baire was one of three children from a poor working-class family in Paris. He started his studies when he entered the Lycée Lakanal through the use of a scholarship. In 1890, Baire completed his advanced classes and entered the special mathematics section of the Lycée Henri IV. While there, he prepared for and passed the entrance examination for the École Normale Supérieure and the École Polytechnique. He decided to attend the École Normale Supérieure in 1891.
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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 ...
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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 One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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Vito Volterra
Vito Volterra (, ; 3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis. Biography Born in Ancona, then part of the Papal States, into a very poor Jewish family: his father was Abramo Volterra and his mother, Angelica Almagià. Abramo Volterra died in 1862 when Vito was two years old. The family moved to Turin, and then to Florence, where he studied at the Dante Alighieri Technical School and the Galileo Galilei Technical Institute. Volterra showed early promise in mathematics before attending the University of Pisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883. He immediately started work developing his theory of functionals which led to his interest and later contributions in integral and integro-differential equations. His work is summarised in his book ''Theory ...
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Lake Geneva
, image = Lake Geneva by Sentinel-2.jpg , caption = Satellite image , image_bathymetry = , caption_bathymetry = , location = Switzerland, France , coords = , lake_type = Glacial lake , inflow = Rhône, Dranse , outflow = Rhône , catchment = , basin_countries = Switzerland, France , length = , width = , area = , depth = , max-depth = , volume = , residence_time = 11.4 years , shore = , elevation = , islands = Île de Peilz, Château de Chillon, Île de Salagnon, Île de la Harpe, Île Rousseau, Île de Choisi , cities = Geneva (CH), Lausanne (CH), Évian (F), Montreux (CH), Thonon (F), Vevey (CH) (''see list'') , pushpin_map=France Rhône-Alpes#Canton of Vaud#Canton of Valais#Switzerland#France#Alps , pushpin_label_position= bottom , e ...
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Lausanne
, neighboring_municipalities= Bottens, Bretigny-sur-Morrens, Chavannes-près-Renens, Cheseaux-sur-Lausanne, Crissier, Cugy, Écublens, Épalinges, Évian-les-Bains (FR-74), Froideville, Jouxtens-Mézery, Le Mont-sur-Lausanne, Lugrin (FR-74), Maxilly-sur-Léman (FR-74), Montpreveyres, Morrens, Neuvecelle (FR-74), Prilly, Pully, Renens, Romanel-sur-Lausanne, Saint-Sulpice, Savigny , twintowns = Lausanne ( , , , ) ; it, Losanna; rm, Losanna. is the capital and largest city of the Swiss French speaking canton of Vaud. It is a hilly city situated on the shores of Lake Geneva, about halfway between the Jura Mountains and the Alps, and facing the French town of Évian-les-Bains across the lake. Lausanne is located northeast of Geneva, the nearest major city. The municipality of Lausanne has a population of about 140,000, making it the fourth largest city in Switzerland after Basel, Geneva, and Zurich, with the entire agglomeration area having about 420,000 inhabit ...
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Agoraphobia
Agoraphobia is a mental and behavioral disorder, specifically an anxiety disorder characterized by symptoms of anxiety in situations where the person perceives their environment to be unsafe with no easy way to escape. These situations can include open spaces, public transit, shopping centers, crowds and queues, or simply being outside their home on their own. Being in these situations may result in a panic attack. Those affected will go to great lengths to avoid these situations. In severe cases people may become completely unable to leave their homes. Agoraphobia is believed to be due to a combination of genetic and environmental factors. The condition often runs in families, and stressful or traumatic events such as the death of a parent or being attacked may be a trigger. In the DSM-5 agoraphobia is classified as a phobia along with specific phobias and social phobia. Other conditions that can produce similar symptoms include separation anxiety, post-traumatic stress dis ...
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Analysis (mathematics)
Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were implicitly present in the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy. (St ...
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Collège De France
The Collège de France (), formerly known as the ''Collège Royal'' or as the ''Collège impérial'' founded in 1530 by François I, is a higher education and research establishment (''grand établissement'') in France. It is located in Paris near La Sorbonne. The Collège de France is considered to be France's most prestigious research establishment. Research and teaching are closely linked at the Collège de France, whose ambition is to teach "the knowledge that is being built up in all fields of literature, science and the arts". It offers high-level courses that are free, non-degree-granting and open to all without condition or registration. This gives it a special place in the French intellectual landscape. Overview The Collège is considered to be France's most prestigious research establishment. As of 2021, 21 Nobel Prize winners and 9 Fields Medalists have been affiliated with the Collège. It does not grant degrees. Each professor is required to give lectures where ...
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Maître De Conférences
''Maître'' (spelled ''Maitre'' according to post-1990 spelling rules) is a commonly used honorific for lawyers, judicial officers and notaries in France, Belgium, Switzerland and French-speaking parts of Canada. It is often written in its abbreviated form ''Me'' or plural ''Mes'' in Belgian French and Canadian English. The origin of the honorific ''Maître'' is from the civil law tradition, and still widely used in 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, Pac ... and Québec. See also * Esquire#Usage in the United States, equivalent honorific for lawyers in American English References {{DEFAULTSORT:Maitre Honorifics Mai Law of Belgium French words and phrases ...
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University Of Montpellier
The University of Montpellier (french: Université de Montpellier) is a public university, public research university located in Montpellier, in south-east of France. Established in 1220, the University of Montpellier is one of the oldest universities in the world. The university was split into three universities (the University of Montpellier 1, the Montpellier 2 University, University of Montpellier 2 and the Paul Valéry University, Montpellier III, Paul Valéry University Montpellier 3) for 45 years from 1970 until 2015 when it was subsequently reunified by the merger of the two former, with the latter, now named Paul Valéry University, Montpellier III remaining a separate entity. History The university is considerably older than its formal founding date, associated with a papal bull issued by Pope Nicholas IV in 1289, combining all the centuries-old schools into a university, but the first statutes were given by Conrad of Urach in 1220. It is not known exactly when t ...
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Bar-le-Duc
Bar-le-Duc (), formerly known as Bar, is a commune in the Meuse département, of which it is the capital. The department is in Grand Est in northeastern France. The lower, more modern and busier part of the town extends along a narrow valley, shut in by wooded or vine-clad hills, and is traversed throughout its length by the Ornain, which is crossed by several bridges. It is limited towards the north-east by the Marne–Rhine Canal, on the south-west by a small arm of the Ornain, called the ''Canal des Usines'', on the left bank of which the upper town (''Ville Haute'') is situated. The highly rarefied Bar-le-duc jelly, also known as Lorraine jelly, is a spreadable preparation of white currant or red currant fruit preserves, hailing from this town. First referenced in the historical record in 1344, it is also colloquially referred to as "Bar caviar". History Bar-le-Duc was at one time the seat of the county, from 1354 the Duchy of Bar. Though probably of ancient origin, the ...
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Agrégation
In France, the ''agrégation'' () is a competitive examination for civil service in the French public education system. Candidates for the examination, or ''agrégatifs'', become ''agrégés'' once they are admitted to the position of ''professeur agrégé''. In France, ''professeurs agrégés'' are distinguished from ''professeurs certifiés'' recruited through the CAPES training. The ''agrégés'' are usually expected to teach in sixth-form colleges (''lycées'') and universities, while the ''certifiés'' usually teach in secondary schools (''collèges''), although there is a significant overlap. The examination may require more than a year of preparation. The difficulty and selectivity (quota) vary from one discipline to another: there are about 300 such positions open each year for mathematics alone, but usually fewer positions are made available for humanities and social sciences (for example, 61 positions for philosophy were offered in 2018) and perhaps only one seat in som ...
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