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Henri Lebesgue

Henri Léon Lebesgue was a French mathematician known for his theory of integration, 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 in his dissertation Intégrale, aire at the University of Nancy during 1902. Henri Lebesgue was born on 28 June 1875 in Oise. Lebesgue's father was a typesetter and his mother was a school teacher, his parents assembled at home a library. His father died of tuberculosis when Lebesgue was still 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 at Lycée Saint-Louis and Lycée Louis-le-Grand in Paris. In 1894 Lebesgue was accepted at the École Normale Supérieure, where he continued to focus his energy on the study of mathematics, graduating in 1897. After graduation he remained at the École Normale Supérieure for two years, working in the library, where he became aware of the research on discontinuity done at that time by René-Louis Baire, a recent graduate of the school.

At the same time he started his graduate studies at the Sorbonne, where he learned about Émile Borel's work on the incipient measure theory and Camille Jordan's work on the Jordan measure. In 1899 he moved to a teaching position at the Lycée Central in Nancy, while continuing work on his doctorate. In 1902 he earned his Ph. D. from the Sorbonne with the seminal thesis on "Integral, Area", submitted with Borel, four years older, as advisor. Lebesgue married the sister of one of his fellow students, he and his wife had two children and Jacques. After publishing his thesis, Lebesgue was offered in 1902 a position at the University of Rennes, lecturing there until 1906, when he moved to the Faculty of Sciences of the University of Poitiers. In 1910 Lebesgue moved to the Sorbonne as a maître de conférences, being promoted to professor starting with 1919. In 1921 he left the Sorbonne to become professor of mathematics at the Collège de France, where he lectured and did research for the rest of his life.

In 1922 he was elected a member of the Académie des Sciences. Henri Lebesgue died on 26 July 1941 in Paris. Lebesgue's first paper was published in 1898 and was titled "Sur l'approximation des fonctions", it dealt with Weierstrass' theorem on approximation to continuous functions by polynomials. Between March 1899 and April 1901 Lebesgue published six notes in Comptes Rendus; the first of these, unrelated to his development of Lebesgue integration, dealt with the extension of Baire's theorem to functions of two variables. The next five dealt with surfaces applicable to a plane, the area of skew polygons, surface integrals of minimum area with a given bound, the final note gave the definition of Lebesgue integration for some function f. Lebesgue's great thesis, Intégrale, aire, with the full account of this work, appeared in the Annali di Matematica in 1902; the first chapter develops the theory of measure. In the second chapter he defines the integral both analytically; the next chapters expand the Comptes Rendus notes dealing with length and applicable surfaces.

The final chapter deals with Plateau's problem. This dissertation is considered to be one of the finest written by a mathematician, his lectures from 1902 to 1903 were collected into a "Borel tract" Leçons sur l'intégration et la recherche des fonctions primitives. The problem of integration regarded as the search for a primitive function is the keynote of the book. Lebesgue presents the problem of integration in its historical context, addressing Augustin-Louis Cauchy, Peter Gustav Lejeune Dirichlet, Bernhard Riemann. Lebesgue presents six conditions which it is desirable that the integral should satisfy, the last of, "If the sequence fn increases to the limit f, the integral of fn tends to the integral of f." Lebesgue shows that his conditions lead to the theory of measure and measurable functions and the analytical and geometrical definitions of the integral. He turned next to trigonometric functions with his 1903 paper "Sur les séries trigonométriques", he presented three major theorems in this work: that a trigonometrical series representing a bounded function is a Fourier series, that the nth Fourier coefficient tends to zero, that a Fourier series is integrable term by term.

In 1904-1905 Lebesgue lectured once again at the Collège de France, this time on trigonometrical series and he went on to publish his lectures in another of the "Borel tracts". In this tract he once again treats the subject in its historical context, he expounds on Fourier series, Cantor-Riemann theory, the Poisson integral and the Dirichlet problem. In a 1910 paper, "Représentation trigonométrique approchée des fonctions satisfaisant a une condition de Lipschitz" deals with the Fourier series of functions satisfying a Lipschitz condition, with an evaluation of the order of magnitude of the remainder term, he proves that the Riemann–Lebesgue lemma is a best possible result for continuous functions, gives some treatment to Lebesgue constants. Lebesgue once wrote, "Réduites à des théories générales, les mathématiques seraient une belle forme sans contenu." In measure-theoretic analysis and related branches of mathematics, the Lebesgue–Stieltjes integral generalizes Riemann–Stieltjes and Lebesgue integration, preserving the many advantages of the latter in a mor

2002 Davis Cup Americas Zone

The Americas Zone was one of three Zones of Davis Cup competition in 2002. Participating Teams Costa Rica — relegated to Group IV in 2003 Dominican Republic — promoted to Group II in 2003 El Salvador Haiti — promoted to Group II in 2003 Honduras Jamaica Panama — relegated to Group IV in 2003 Puerto Rico Participating Teams Barbados Bermuda Bolivia — promoted to Group III in 2003 Eastern Caribbean Saint Lucia — promoted to Group III in 2003 U. S. Virgin Islands

International Association of Agricultural Information Specialists

The International Association of Agricultural Information Specialists is the international professional association of people and institutions who are professionally involved in creating, accessing, or disseminating information and knowledge concerning agriculture and rural development. See list of similar professional associations. IAALD acts as a community of practice and connecting information professionals worldwide, it convenes conferences and meetings, publishes a peer-reviewed journal, sponsors professional training and education, facilities e-discussions, publishes a web site, etc. It works through a network of country and regional chapters. IAALD collaborates with organizations like the Consultative Group on International Agricultural Research, the Technical Centre for Agricultural and Rural Cooperation ACP-EU, the Food and Agriculture Organization of the United Nations, the United States National Agricultural Library and other leading agricultural research and knowledge institutes.

Over the years IAALD has held twelve world congresses and thirty-three regional conferences on six of the seven continents. The most recent was in Japan in 2008; the IAALD Africa Chapter held its second regional conference in Ghana in July 2009. IAALD publications include A Primer for Agricultural Libraries, Current Agricultural Serials, World Directory of Agricultural Libraries and Documentation Centres, Agricultural Resource Centers: A World Directory, as well as newsletters and training aids. IAALD was established in 1955 as the International Association of Agricultural Librarians and Documentalists - hence the acronym. Ballantyne, P. G. 2006. "Focus on - The International Association of Agricultural Information Specialists." Information Development 22: 22-23. Greider, A. P. 2006. "The International Association of Agricultural Information Specialists." Focus 37: 54-56 IAALD journal articles listed on Google Scholar

Antonio Llidó

Antonio Llidó Mengual was a Spanish Roman Catholic priest and pedagogue who became a leading member in the Christians for Socialism Movement and the Marxist-Leninist Movimiento de Izquierda Revolucionaria in Chile. Llidó had grown up in war-torn Spain, he had left his country to free himself from some of the restraints of the Catholic Church hierarchy and Franco’s repression. During his missionary work in Chile he settled and lived among the impoverished workers and peasants of the Quillota province. Here he intimately experienced the daily struggle to survive of the local people and came to identify with their yearnings for social change. Like many politically conscious youth of his time in Chile, he became active in a number of political organizations that worked to organize and mobilize the poor to fight for social change. After the September 11, 1973 Pinochet-led coup he was arrested and executed, he is among the list of people deemed disappeared under the Pinochet regime. His tragic ordeal through the torture centers of the Pinochet regime has been traced and recreated via the testimonies of various fellow detainees or witnesses who spent time with him before his forced disappearance.


Kuzū Station

Kuzū Station is a railway station on the Tobu Sano Line in Sano, Japan, operated by the private railway operator Tobu Railway. The station is numbered "TI-39". Kuzū Station is a terminal station of the Tobu Sano Line, is located 22.1 km from the opposing terminus of the line at Tatebayashi. Kuzū Station has a single side platform. Kuzū Station opened on 23 March 1894. From 17 March 2012, station numbering was introduced on all Tobu lines, with Kuzū Station becoming "TI-39". A new station building was completed in September 2014. Former Kuzū Town Hall Kuzū Post Office National Route 293 List of railway stations in Japan Tobu station information

MV Karadeniz Powership Doğan Bey

The MV Karadeniz Powership Doğan Bey is a Liberia-flagged Powership, a floating power plant and operated by Karpowership. Built 1983 by Mitsui Co. in Ichihara, Chiba and christened MV Sono, she sailed as a dry cargo ship under various names and flags until in 2010 she was converted into a Powership at the Sedef Shipyard in Tuzla, Turkey. She supplied electricity to the power grid in south-eastern Iraq, she supplies electricity to Sierra Leone. The ship was built in 1983 as a bulk carrier with deck mounted cranes by the Japanese shipyard Mitsui Co in Ichihara, Chiba with yard number 1264 and was named Sono; the 188.14 m long vessel has a beam of 31.00 m and a draft of 5.85 m. By 41,525 DWT, she has a cargo capacity of 24,729 GT; the ship is propelled by a single screw, powered by a 13,100 HP MAN B&W Diesel engine. Misr Shipping Co. in Egypt purchased and renamed her Saqqara. She was bought by Bright Star Marine in Malta and was renamed Seapace; the Greek company Thenamaris Ships Man. Operated the cargo ship under the flag of Malta.

Her next owner became another Greek maritime company, Vulcanus Technical Maritime Enterprises S. A. which renamed her to Melpomeni. Seaboxer II, Malta Radonezh, Liberia Searider, Malta The freighter Melpomeni was acquired in 2009 by Karpowership, a subsidiary of Karadeniz Holding, with the purpose to turn her into a floating power plant sailing under the Liberian flag, she was renamed Karadeniz Powership Doğan Bey after Nuri Doğan Karadeniz, the COO of the parent company. The Sedef Shipyard in Tuzla, Istanbul was commissioned by May 2009 with the task to convert the cargo ship into a Powership by installing the needed engine-generators and the electric switchboards on board. Doğan Bey is the first of a Powership with dual-fuel diesel engines installed on board. Aboard the vessel, twelve generator units are installed having 10.53 MW each. Three units are packed in fans and funnels mounted on deck. Bureau Veritas, an international certification agency with experience in overseeing both shipbuilding and power plant development, classified the vessel following its conversion as "special service-floating power plant".

On April 3, 2010, the floating power plant was ready to go to its first mission in Iraq. After a sending-off ceremony held at the Sedef Shipyard in presence of the Turkish and Iraqi ministers of energy, she sailed to Basra, arriving there on May 1. Doğan Bey was moored at Berth #9 of Umm Qasr Port, south-eastern Iraq, at the country's hub of imports and exports; the power plant on the ship's deck generates electricity using a refined fuel provided by the Iraqi Department of Energy and runs it to the national power grid. It is reported that the Powership has the ability to supply Umm Qasr with all the electric energy required and some left over; the power plant on the ship is operated and maintained by Turkish personnel while for the security of the facility, around 70 local guards are hired. Doğan Bey provided electricity in Iraq for the next five years following a contract signed with the local Department of Energy. In January 2018, Karpowership signed a contract with Sierra Leone's national utility company, Electricity Distribution and Supply Authority to supply 30 MW of power to Freetown for a duration of 5 years.

Doğan Bey is in Sierra Leone. Ex-MV Sono ex-MV Saqqara, Egypt-flagged, owned by Misr Shipping Co. and operated by The Egyptian Navigation Co. ex-MV Seapace, Malta-flagged, owned by Bright Star Marine and operated by Thenamaris Ships Man. Greece. Ex-MV Melpomeni, Malta-flagged and operated by Vulcanus Technical Maritime Enterprises S. A. Greece