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Baire
RENé-LOUIS BAIRE (French: ; 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 variable réelles ("On the Functions of Real Variables") in 1899. CONTENTS * 1 Schooling * 2 Illness * 3 Contributions to Mathematics
Mathematics
* 4 See also * 5 References * 6 External links SCHOOLINGThe 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
Lycée Henri IV

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Paris
1 French Land Register data, which excludes lakes, ponds, glaciers > 1 km² (0.386 sq mi or 247 acres) and river estuaries. 2 Population without double counting : residents of multiple communes (e.g., students and military personnel) only counted once. PARIS (French pronunciation: ​ ( listen )) is the capital and most populous city in France
France
, with an administrative-limits area of 105 square kilometres (41 square miles) and an official population of 2,206,488 (2015). The city is a commune and department , and the heart of the 12,012-square-kilometre (4,638-square-mile) Île-de- France
France
region (colloquially known as the ' Paris
Paris
Region'), whose 2016 population of 12,142,802 represented roughly 18 percent of the population of France. Since the 17th century, Paris
Paris
has been one of Europe's major centres of finance, commerce, fashion, science, and the arts
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Biblioteca Nacional De España
The BIBLIOTECA NACIONAL DE ESPAñA (National Library of Spain) is a major public library , the largest in Spain, and one of the largest in the world. It is located in Madrid
Madrid
, on the Paseo de Recoletos . CONTENTS * 1 History * 2 The library today * 3 See also * 4 References * 5 External links * 6 Images HISTORYThe library was founded by King Philip V in 1712 as the Palace Public Library (Biblioteca Pública de Palacio). The Royal Letters Patent that he granted, the predecessor of the current legal deposit requirement, made it mandatory for printers to submit a copy of every book printed in Spain
Spain
to the library. In 1836, the library's status as Crown property was revoked and ownership was transferred to the Ministry of Governance (Ministerio de la Gobernación). At the same time, it was renamed the Biblioteca Nacional
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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 . CONTENTS * 1 Biography * 2 Selected writings by Volterra * 3 See also * 4 Notes * 5 Biographical references * 6 General references * 7 External links BIOGRAPHYBorn in Ancona , then part of the Papal States , into a very poor Jewish family, 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 of functionals and of Integral and Integro-Differential Equations (1930)
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Agoraphobia
AGORAPHOBIA is an anxiety disorder characterized by symptoms of anxiety in situations where the person perceives the environment to be unsafe with no easy way to get away. These situations can include open spaces, public transit, shopping malls, or simply being outside the home. Being in these situations may result in a panic attack . The symptoms occur nearly every time the situation is encountered and last for more than six months. Those affected will go to great lengths to avoid these situations. In severe cases people may become unable to leave their homes. Agoraphobia
Agoraphobia
is believed to be due to a combination of genetic and environmental factors. The condition often runs in families, and stressful 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
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Collège De France
The COLLèGE DE FRANCE (French pronunciation: ​ ), founded in 1530, is a renowned higher education and research establishment (grand établissement ) in France
France
. It is located in Paris
Paris
, in the 5th arrondissement , or Latin
Latin
Quarter, across the street from the historical campus of La Sorbonne . The Collège is considered to be France's most prestigious research university. It does not grant degrees. Each professor is required to give lectures where attendance is free and open to anyone. Professors, about 50 in number, are chosen by the professors themselves, from a variety of disciplines, in both science and the humanities
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Bibliothèque Nationale De France
The BIBLIOTHèQUE NATIONALE DE FRANCE (BNF; French: ) is the National Library of France
France
, located in Paris
Paris
. It is the national repository of all that is published in France. CONTENTS * 1 History * 2 New buildings * 3 Mission * 4 Manuscript
Manuscript
collection * 5 Digital library * 6 Popular culture * 7 See also * 8 References * 9 Further reading * 10 External links HISTORYThe National Library of France
France
traces its origin to the royal library founded at the Louvre Palace by Charles V in 1368. Charles had received a collection of manuscripts from his predecessor, John II , and transferred them to the Louvre
Louvre
from the Palais de la Cité
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Système Universitaire De Documentation
The SYSTèME UNIVERSITAIRE DE DOCUMENTATION or SUDOC is a system used by the libraries of French universities and higher education establishments to identify, track and manage the documents in their possession. The catalog, which contains more than 10 million references, allows students and researcher to search for bibliographical and location information in over 3,400 documentation centers
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Special
SPECIAL or SPECIALS may refer to: CONTENTS * 1 Music * 2 Film and television * 3 Other uses * 4 See also MUSIC * Special (album) , a 1992 album by Vesta Williams * "Special" (Garbage song) , 1998 * "Special" (Mew song) , 2005 * "Special" (Stephen Lynch song) , 2000 * The Specials
The Specials
, a British band * "Special", a song by Violent Femmes on The Blind Leading the Naked * "Special", a song on
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Mathematics Genealogy Project
The MATHEMATICS GENEALOGY PROJECT is a web-based database for the academic genealogy of mathematicians . By 24 April 2017, it contained information on 211,735 mathematical scientists who contributed to research-level mathematics. For a typical mathematician, the project entry includes graduation year, thesis title, alma mater , doctoral advisor , and doctoral students. CONTENTS * 1 Origin of the database * 2 Mission * 3 Scope * 4 Accuracy of information and other criticisms * 5 See also * 6 References * 7 External links ORIGIN OF THE DATABASEThe project grew out of founder Harry Coonce 's desire to know the name of his advisor's advisor. Coonce was Professor of Mathematics at Minnesota State University, Mankato , at the time of the project's founding, and the project went online there in fall 1997. Coonce retired from Mankato in 1999, and in fall 2002 the university decided that it would no longer support the project
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Library Of Congress Control Number
The LIBRARY OF CONGRESS CONTROL NUMBER (LCCN) is a serially based system of numbering cataloging records in the Library of Congress
Library of Congress
in the United States. It has nothing to do with the contents of any book, and should not be confused with Library of Congress
Library of Congress
Classification . CONTENTS * 1 History * 2 Format * 3 See also * 4 References * 5 External links HISTORYThe LCCN numbering system has been in use since 1898, at which time the acronym LCCN originally stood for Library of Congress
Library of Congress
Card Number. It has also been called the Library of Congress
Library of Congress
Catalog Card Number, among other names. The Library of Congress
Library of Congress
prepared cards of bibliographic information for their library catalog and would sell duplicate sets of the cards to other libraries for use in their catalogs
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International Standard Name Identifier
The INTERNATIONAL STANDARD NAME IDENTIFIER (ISNI) is an identifier for uniquely identifying the public identities of contributors to media content such as books, television programmes, and newspaper articles. Such an identifier consists of 16 digits. It can optionally be displayed as divided into four blocks. It was developed under the auspices of the International Organization for Standardization (ISO) as Draft International Standard 27729; the valid standard was published on 15 March 2012. The ISO technical committee 46, subcommittee 9 ( TC 46/SC 9 ) is responsible for the development of the standard. ISNI can be used to disambiguate names that might otherwise be confused, and links the data about names that are collected and used in all sectors of the media industries
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International Standard Book Number
The INTERNATIONAL STANDARD BOOK NUMBER (ISBN) is a unique numeric commercial book identifier. An ISBN is assigned to each edition and variation (except reprintings) of a book. For example, an e-book , a paperback and a hardcover edition of the same book would each have a different ISBN. The ISBN is 13 digits long if assigned on or after 1 January 2007, and 10 digits long if assigned before 2007. The method of assigning an ISBN is nation-based and varies from country to country, often depending on how large the publishing industry is within a country. The initial ISBN configuration of recognition was generated in 1967 based upon the 9-digit STANDARD BOOK NUMBERING (SBN) created in 1966. The 10-digit ISBN format was developed by the International Organization for Standardization (ISO) and was published in 1970 as international standard ISO 2108 (the SBN code can be converted to a ten digit ISBN by prefixing it with a zero)
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Maître De Conférences
The following summarizes basic ACADEMIC RANKS IN THE FRENCH HIGHER EDUCATION SYSTEM. Most academic institutions being state-run, people with permanent positions are civil servants . Several parallel, more or less equivalent, career paths exist, depending on the type of institutions. On the other hand, in most cases, a complete career requires at least two open recruitment procedures, as there is no individual promotion from the level equivalent to Associate Professor to the level of Full-Professor
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École Normale Supérieure
The ÉCOLE NORMALE SUPéRIEURE (French pronunciation: ​ ; also known as NORMALE SUP\', ULM, ENS PARIS, L\'ÉCOLE and most often just as ENS) is a French grande école (higher education establishment outside the framework of the public university system), and a constituent college of PSL Research University , a collegiate university based in the Latin Quarter
Latin Quarter
of Paris
Paris
. It was initially conceived during the French Revolution
French Revolution
and was intended to provide the Republic with a new body of professors , trained in the critical spirit and secular values of the Enlightenment
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Mathematics
MATHEMATICS (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity , structure , space , and change . There are many views among mathematicians and philosophers as to the exact scope and definition of mathematics . Mathematicians seek out patterns and use them to formulate new conjectures . Mathematicians resolve the truth or falsity of conjectures by mathematical proof . When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic , mathematics developed from counting , calculation , measurement , and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry
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