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Georges Bouligand
Georges Louis Bouligand (13 October 1889 – 12 April 1979) was a French mathematician. He worked in Mathematical analysis, analysis, mechanics, Analytic geometry, analytical and differential geometry, topology, and mathematical physics. He is known for introducing the concept of paratingent cones and contingent cones. Biography Georges Bouligand was received at both the École polytechnique, École Polytechnique and the École normale supérieure (Paris), École Normale Supérieure in 1909, and chose the latter. He graduated in mathematics in 1912, and with the help of a scholarship from the Commercy Foundation, he prepared a thesis, defended in 1914, “On the Green's function, Green and Bessel function, Neumann functions of the cylinder”. He was then appointed to Tours high school, then to the high school of Rennes where he taught the class in specialised mathematics (''Mathématiques spéciales''). In 1921, after a year as a docent at the Faculty of Sciences of Rennes, he ...
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Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), 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 (mathematics), 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 i ...
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Rennes
Rennes (; br, Roazhon ; Gallo: ''Resnn''; ) is a city in the east of Brittany in northwestern France at the confluence of the Ille and the Vilaine. Rennes is the prefecture of the region of Brittany, as well as the Ille-et-Vilaine department. In 2017, the urban area had a population of 357,327 inhabitants, and the larger metropolitan area had 739,974 inhabitants.Comparateur de territoire Unité urbaine 2020 de Rennes (35701), Aire d'attraction des villes 2020 de Rennes (013)
INSEE
The inhabitants of Rennes are called Rennais/Rennaises in French. Rennes's history goes back more than 2,000 years, at a time when it ...
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Minkowski–Bouligand Dimension
450px, Estimating the box-counting dimension of the coast of Great Britain In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal dimension of a set ''S'' in a Euclidean space R''n'', or more generally in a metric space (''X'', ''d''). It is named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand. To calculate this dimension for a fractal ''S'', imagine this fractal lying on an evenly spaced grid and count how many boxes are required to cover the set. The box-counting dimension is calculated by seeing how this number changes as we make the grid finer by applying a box-counting algorithm. Suppose that ''N''(''ε'') is the number of boxes of side length ''ε'' required to cover the set. Then the box-counting dimension is defined as : \dim_\text(S) := \lim_ \frac . Roughly speaking, this means that the dimension is the exponent ''d ...
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Bulletin Of The American Mathematical Society
The ''Bulletin of the American Mathematical Society'' is a quarterly mathematical journal published by the American Mathematical Society. Scope It publishes surveys on contemporary research topics, written at a level accessible to non-experts. It also publishes, by invitation only, book reviews and short ''Mathematical Perspectives'' articles. History It began as the ''Bulletin of the New York Mathematical Society'' and underwent a name change when the society became national. The Bulletin's function has changed over the years; its original function was to serve as a research journal for its members. Indexing The Bulletin is indexed in Mathematical Reviews, Science Citation Index, ISI Alerting Services, CompuMath Citation Index, and Current Contents/Physical, Chemical & Earth Sciences. See also *'' Journal of the American Mathematical Society'' *''Memoirs of the American Mathematical Society'' *''Notices of the American Mathematical Society'' *'' Proceedings of the American M ...
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Hermann Éditeurs Des Sciences Et Des Arts
Hermann or Herrmann may refer to: * Hermann (name), list of people with this name * Arminius, chieftain of the Germanic Cherusci tribe in the 1st century, known as Hermann in the German language * Éditions Hermann, French publisher * Hermann, Missouri, a town on the Missouri River in the United States ** Hermann AVA, Missouri wine region * The German SC1000 bomb of World War II was nicknamed the "Hermann" by the British, in reference to Hermann Göring * Herrmann Hall, the former Hotel Del Monte, at the Naval Postgraduate School, Monterey, California * Memorial Hermann Healthcare System, a large health system in Southeast Texas * The Herrmann Brain Dominance Instrument (HBDI), a system to measure and describe thinking preferences in people * Hermann station (other), stations of the name * Hermann (crater), a small lunar impact crater in the western Oceanus Procellarum * Hermann Huppen, a Belgian comic book artist * Hermann 19, an American sailboat design built by Ted Herman ...
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Sorbonne University
Sorbonne University (french: Sorbonne Université; la Sorbonne: 'the Sorbonne') is a public research university located in Paris, France. The institution's legacy reaches back to 1257 when Sorbonne College was established by Robert de Sorbon as one of the first universities in Europe. Sorbonne University is considered one of the most prestigious universities in Europe and the world. It has a world-class reputation in academia and industry; as of 2021, its alumni and professors have won 33 Nobel Prizes, six Fields Medals, and one Turing Award. In the 2021 edition of the '' Academic Ranking of World Universities'', Sorbonne University ranked 35th in the world, placing it as the 4th best university in continental Europe, 3rd in Mathematics and Oceanography. In the 2023 edition of ''QS World University Rankings'', the Sorbonne ranked 60th in the world, placing it 8th in continental Europe, 14th in Natural Sciences and Mathematics, and 7th in Classics and Ancient History. K ...
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Calculus
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous Rate of change (mathematics), rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus, and they make use of the fundamental notions of convergence (mathematics), convergence of infinite sequences and Series (mathematics), infinite series to a well-defined limit (mathematics), limit. Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including (ε, δ)-definition of limit, codify ...
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University Of Poitiers
The University of Poitiers (UP; french: Université de Poitiers) is a public university located in Poitiers, France. It is a member of the Coimbra Group. It is multidisciplinary and contributes to making Poitiers the city with the highest student/inhabitant ratio in France by welcoming nearly 28,000 students in 2017. The University of Poitiers represents a global operating budget of around 150 million euros per year, one-third of which is for operating and investment costs and two-thirds for personnel costs. As of July 2015 it is a member of the regional university association Leonardo da Vinci consolidated University. History Founded in 1431 by Pope Eugene IV and chartered by King Charles VII, the University of Poitiers was originally composed of five faculties: theology, canon law, civil law, medicine, and arts. In the 16th century, the university exerted its influence over the town cultural life, and was ranked second only to Paris. Of the 4,000 students who attended it at ...
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Mechanics
Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects result in displacements, or changes of an object's position relative to its environment. Theoretical expositions of this branch of physics has its origins in Ancient Greece, for instance, in the writings of Aristotle and Archimedes (see History of classical mechanics and Timeline of classical mechanics). During the early modern period, scientists such as Galileo, Kepler, Huygens, and Newton laid the foundation for what is now known as classical mechanics. As a branch of classical physics, mechanics deals with bodies that are either at rest or are moving with velocities significantly less than the speed of light. It can also be defined as the physical science that deals with the motion of and forces on bodies not in the quantum realm ...
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Docent
The title of docent is conferred by some European universities to denote a specific academic appointment within a set structure of academic ranks at or below the full professor rank, similar to a British readership, a French " ''maître de conférences''" (MCF), and equal to or above the title of " associate professor". Docent is also used at some (mainly German) universities generically for a person who has the right to teach. The term is derived from the Latin word ''docēns'', which is the present active participle of ''docēre'' (to teach, to lecture). Becoming a docent is often referred to as Habilitation or doctor of science and is an academic qualification that shows that the holder is qualified to be employed at the level of associate or full professor. Docent is the highest academic title in several countries, and the qualifying criteria are research output that corresponds to 3-5 doctoral dissertations, supervision of PhD students, and experience in teaching at the ...
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Tours
Tours ( , ) is one of the largest cities in the region of Centre-Val de Loire, France. It is the Prefectures in France, prefecture of the Departments of France, department of Indre-et-Loire. The Communes of France, commune of Tours had 136,463 inhabitants as of 2018 while the population of the whole functional area (France), metropolitan area was 516,973. Tours sits on the lower reaches of the Loire, between Orléans and the Atlantic Ocean, Atlantic coast. Formerly named Caesarodunum by its founder, Roman Augustus, Emperor Augustus, it possesses one of the largest amphitheaters of the Roman Empire, the Tours Amphitheatre. Known for the Battle of Tours in 732 AD, it is a National Sanctuary with connections to the Merovingian dynasty, Merovingians and the Carolingian dynasty, Carolingians, with the Capetian dynasty, Capetians making the kingdom's currency the Livre tournois. Martin of Tours, Saint Martin, Gregory of Tours and Alcuin were all from Tours. Tours was once part of Tour ...
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