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Désiré André
Désiré André (André Antoine Désiré) (March 29, 1840, Lyon – September 12, 1917, Paris) was a French mathematician, best known for his work on Catalan numbers and alternating permutations. Biography He is the son of Auguste Antoine Désiré André, shoemaker in Lyon, and his wife Antoinette Magdalene Jar. He entered the École Normale Supérieure in 1860 and passed the Agrégation in Mathematics in 1863. He defended his doctoral thesis on 25 March 1877. He was a student of Charles Hermite (1822–1901) and Joseph Bertrand (1822–1900). Starting as a teacher at the Lycée de Troyes, he went on to Collège Sainte-Barbe, then to the University of Dijon and finally became professor of mathematics at Collège Stanislas de Paris from 1885 to 1900. He was a laureate of the Ministère de l'Instruction Publique, member of the Circolo Matematico di Palermo and the Commission Internationale Permanente de Bibliographie Mathématique. He was made a Knight of the Legion of Hono ...
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Catalan Number
In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Catalan (1814–1894). The ''n''th Catalan number can be expressed directly in terms of binomial coefficients by :C_n = \frac = \frac = \prod\limits_^\frac \qquad\textn\ge 0. The first Catalan numbers for ''n'' = 0, 1, 2, 3, ... are :1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, ... . Properties An alternative expression for ''C''''n'' is :C_n = - for n\ge 0, which is equivalent to the expression given above because \tbinom=\tfrac\tbinomn. This expression shows that ''C''''n'' is an integer, which is not immediately obvious from the first formula given. This expression forms the basis for a proof of the correctness of the formula. The Catalan numbers satisfy the recurrence relations :C_0 = 1 \quad \text \quad C_=\sum_^C_i ...
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Legion Of Honour
The National Order of the Legion of Honour (french: Ordre national de la Légion d'honneur), formerly the Royal Order of the Legion of Honour ('), is the highest French order of merit, both military and civil. Established in 1802 by Napoleon, Napoleon Bonaparte, it has been retained (with occasional slight alterations) by all later French governments and regimes. The order's motto is ' ("Honour and Fatherland"); its Seat (legal entity), seat is the Palais de la Légion d'Honneur next to the Musée d'Orsay, on the left bank of the Seine in Paris. The order is divided into five degrees of increasing distinction: ' (Knight), ' (Officer), ' (Commander (order), Commander), ' (Grand Officer) and ' (Grand Cross). History Consulate During the French Revolution, all of the French Order of chivalry, orders of chivalry were abolished and replaced with Weapons of Honour. It was the wish of Napoleon, Napoleon Bonaparte, the French Consulate, First Consul, to create a reward to commend c ...
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19th-century French Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ...
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1917 Deaths
Events Below, the events of World War I have the "WWI" prefix. January * January 9 – WWI – Battle of Rafa: The last substantial Ottoman Army garrison on the Sinai Peninsula is captured by the Egyptian Expeditionary Force's Desert Column. * January 10 – Imperial Trans-Antarctic Expedition: Seven survivors of the Ross Sea party were rescued after being stranded for several months. * January 11 – Unknown saboteurs set off the Kingsland Explosion at Kingsland (modern-day Lyndhurst, New Jersey), one of the events leading to United States involvement in WWI. * January 16 – The Danish West Indies is sold to the United States for $25 million. * January 22 – WWI: United States President Woodrow Wilson calls for "peace without victory" in Germany. * January 25 ** WWI: British armed merchantman is sunk by mines off Lough Swilly (Ireland), with the loss of 354 of the 475 aboard. ** An anti-prostitution drive in San Francisco occurs, and police ...
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1840 Births
__NOTOC__ Year 184 ( CLXXXIV) was a leap year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Eggius and Aelianus (or, less frequently, year 937 ''Ab urbe condita''). The denomination 184 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 China * The Yellow Turban Rebellion and Liang Province Rebellion break out in China. * The Disasters of the Partisan Prohibitions ends. * Zhang Jue leads the peasant revolt against Emperor Ling of Han of the Eastern Han Dynasty. Heading for the capital of Luoyang, his massive and undisciplined army (360,000 men), burns and destroys government offices and outposts. * June – Ling of Han places his brother-in-law, He Jin, in command of the imperial army and sends them to attack the Yellow Turban rebels. * Winter – Zha ...
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Zentralblatt MATH
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising reviews by topic. History Mathematicians Richard Courant, Otto Neugebauer, and Harald Bohr, together with the publisher Ferdinand Springer, took the initiative for a new mathematical reviewing journal. Harald Bohr worked in Copenhagen. Courant and Neugebauer were professors at the University of Göttingen. At that time, Göttingen was considered one of the central places for mathematical research, having appointed mathematicians like David Hilbert, Hermann Minkowski, Carl Runge, and Felix Klein, the great ...
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Journal De Mathématiques Pures Et Appliquées
The ''Journal de Mathématiques Pures et Appliquées'' () is a French monthly scientific journal of mathematics, founded in 1836 by Joseph Liouville (editor: 1836–1874). The journal was originally published by Charles Louis Étienne Bachelier. After Bachelier's death in 1853, publishing passed to his son-in-law, Louis Alexandre Joseph Mallet, and the journal was marked Mallet-Bachelier. The publisher was sold to Gauthier-Villars (:fr:Gauthier-Villars) in 1863, where it remained for many decades. The journal is currently published by Elsevier. According to the 2018 Journal Citation Reports, its impact factor is 2.464. Articles are written in English language, English or French language, French. References External links * Online access* http://sites.mathdoc.fr/JMPA/ Index of freely available volumes Up to 1945, volumes of Journal de Mathématiques Pures et Appliquées are available online free in their entirety from Internet Archive or Bibliothèque nationale de France. Re ...
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Société Mathématique De France
Lactalis is a French multinational dairy products corporation, owned by the Besnier family and based in Laval, Mayenne, France. The company's former name was Besnier SA. Lactalis is the largest dairy products group in the world, and is the second largest food products group in France, behind Danone. It owns brands such as Parmalat, Président, Siggi's Dairy, Skånemejerier, Rachel's Organic, and Stonyfield Farm. History André Besnier started a small cheesemaking company in 1933 and launched its ''Président'' brand of Camembert in 1968. In 1990, it acquired Group Bridel (2,300 employees, 10 factories, fourth-largest French dairy group) with a presence in 60 countries. In 1992, it acquired United States cheese company Sorrento. In 1999, ''la société Besnier'' became ''le groupe Lactalis'' owned by Belgian holding company BSA International SA. In 2006, they bought Italian group Galbani, and in 2008, bought Swiss cheesemaker Baer. They bought Italian group Parmalat in a 2011 ...
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Circolo Matematico Di Palermo
The Circolo Matematico di Palermo (Mathematical Circle of Palermo) is an Italian List of mathematical societies, mathematical society, founded in Palermo by Sicilian geometer Giovanni Battista Guccia, Giovanni B. Guccia in 1884.The Mathematical Circle of Palermo
MacTutor History of Mathematics archive. Retrieved 2011-06-19.
It began accepting foreign members in 1888, and by the time of Guccia's death in 1914 it had become the foremost international mathematical society, with approximately one thousand members. However, subsequently to that time it declined in influence.


Publications

''Rendiconti del Circolo Matematico di Palermo'', the journal of the society, was published in a first series from 1885 to 1941 and in a second ongoing ...
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Alternating Permutation
In combinatorial mathematics, an alternating permutation (or zigzag permutation) of the set is a permutation (arrangement) of those numbers so that each entry is alternately greater or less than the preceding entry. For example, the five alternating permutations of are: * 1, 3, 2, 4        because       1 2 < 4, * 1, 4, 2, 3        because       1 < 4 > 2 < 3, * 2, 3, 1, 4        because       2 < 3 > 1 < 4, * 2, 4, 1, 3        because       2 < 4 > 1 < 3, and * 3, 4, 1, 2        because       3 < 4 > 1 < 2. This type of permutation was first studied by



Collège Stanislas De Paris
The Collège Stanislas de Paris (), colloquially known as Stan, is a highly selective private Catholic school in Paris, situated on " Rue Notre-Dame-des-Champs" in the 6th arrondissement. It has more than 3,000 students, from preschool to '' classes préparatoires'' (classes to prepare students for entrance to the elite ''grandes écoles'' such as École Polytechnique, CentraleSupélec, ESSEC Business School, ESCP Business School and HEC Paris), and is the largest private school in France. Stanislas is considered one of the most prestigious and elite French schools. The school was ranked 1st in 2019 for high school. History Founded in 1804 by Father Claude Liautard, the Collège has both traditional buildings and modern constructions. Under contract with the French government, it offers curricula identical to those of public education, also offering religious education on specific days - originally Wednesdays, since the Jules Ferry Laws of 1882, but now Saturdays. In 1822, its for ...
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University Of Burgundy
The University of Burgundy (french: Université de Bourgogne, uB; formerly known as ''Université de Dijon'') is a public university located in Dijon, France. The University of Burgundy is situated on a large campus (more than 150 ha) in the eastern part of Dijon called Campus Montmuzard, about 15 minutes by tram from the city centre. The humanities and sciences are well represented on the main campus, along with law, medicine, and literature in separate buildings. The IUT (Institute of technology) is also on the campus, providing specialist higher level diplomas in business, biology, communications and computer science. The university counts 10 faculties, 4 engineering schools, 3 institutes of technology offering undergraduate courses, and 2 professional institutes providing post-graduate programmes. With numerous student societies and good support services for international and disabled students, the campus is a welcoming place with numerous CROUS restaurants and canteens pro ...
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