Intégrale, Longueur, Aire
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Intégrale, Longueur, Aire
Henri Léon Lebesgue (; ; June 28, 1875 – July 26, 1941) was a French mathematician known for his theory of integration, which was a generalization of the 17th-century concept of integration—summing the area between an axis and the curve of a function defined for that axis. His theory was published originally in his dissertation ''Intégrale, longueur, aire'' ("Integral, length, area") at the University of Nancy during 1902. Personal life Henri Lebesgue was born on 28 June 1875 in Beauvais, Oise. Lebesgue's father was a typesetter and his mother was a school teacher. His parents assembled at home a library that the young Henri was able to use. His father died of tuberculosis when Lebesgue was still very young and his mother had to support him by herself. As he showed a remarkable talent for mathematics in primary school, one of his instructors arranged for community support to continue his education at the Collège de Beauvais and then at Lycée Saint-Louis and Lycée Louis ...
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Henri Lebègue
Henri Lebègue (27 February 1856 – 19 October 1938) was a French palaeographer, director of studies at the École pratique des hautes études. The French historian Ernest Lebègue (1862–1943), was his brother. Henri Lebègue was also the father of literary historian Raymond Lebègue and nephew of publisher and media owner Alphonse-Nicolas Lebègue (1814–1885) from Brussels. Palaeographer and professor at the École pratique des hautes études An officer of Public Instruction, attached to the library of the University of Paris ( Sorbonne) from November 1882 to October 1888, Henri Lebègue wa admitted to the École pratique des hautes études in November 1891 as head of palaeographic studies. He joined the section of historical and philological sciences. A researcher, Lebègue was also a translator and published texts by Greek authors related to the geography and history of Gaules. Henri Lebègue also wrote Greek exercise books. He listed and partly translated t ...
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Lebesgue Integration
In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, is one way to make this concept rigorous and to extend it to more general functions. The Lebesgue integral is more general than the Riemann integral, which it largely replaced in mathematical analysis since the first half of the 20th century. It can accommodate functions with discontinuities arising in many applications that are pathological from the perspective of the Riemann integral. The Lebesgue integral also has generally better analytical properties. For instance, under mild conditions, it is possible to exchange limits and Lebesgue integration, while the conditions for doing this with a Riemann integral are comparatively baroque. Furthermore, the Lebesgue integral can be generalized in a straightforward way to more gene ...
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Lycée Louis-le-Grand
The Lycée Louis-le-Grand (), also referred to simply as Louis-le-Grand or by its acronym LLG, is a public Lycée (French secondary school, also known as sixth form college) located on Rue Saint-Jacques (Paris), rue Saint-Jacques in central Paris. It was founded in the early 1560s by the Jesuits as the Collège de Clermont, was renamed in 1682 after King Louis XIV ("Louis the Great"), and has remained at the apex of France's secondary education system despite its disruption in 1762 following the suppression of the Society of Jesus. It offers both a high school curriculum, and a Classe préparatoire aux grandes écoles, Classes Préparatoires post-secondary-level curriculum in the sciences, business and khâgne, humanities. Location Louis-le-Grand is located in the heart of the , the centuries-old student district of Paris. It is surrounded by other storied educational institutions: the University of Paris, Sorbonne to its west, across rue Saint-Jacques; the Collège de France ...
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