Joseph-Émile Barbier
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Joseph-Émile Barbier
Joseph-Émile Barbier (1839–1889) was a French astronomer and mathematician, known for Barbier's theorem on the perimeter of curves of constant width. Barbier was born on 18 March 1839 in Saint-Hilaire-Cottes, Pas-de-Calais, in the north of France. He studied at the College of Saint-Omer, also in Pas-de-Calais, and then at the Lycée Henri-IV in Paris. He entered the École Normale Supérieure in 1857, and finished his studies there in 1860, the same year in which he published the paper containing his theorem on constant-width curves. In this paper he also presented a solution to Buffon's needle problem, known as Buffon's noodle, that avoided the use of integrals. He began teaching at a lycée in Nice, but it was not a success, and he soon moved to a position as an assistant astronomer at the Paris Observatory. He left there in 1865, and in 1880 Joseph Louis François Bertrand found him in the Charenton asylum. Bertrand arranged for Barbier's support and encouraged him to ret ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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Joseph Louis François Bertrand
Joseph Louis François Bertrand (; 11 March 1822 – 5 April 1900) was a French mathematician who worked in the fields of number theory, differential geometry, probability theory, economics and thermodynamics. Biography Joseph Bertrand was the son of physician Alexandre Jacques François Bertrand and the brother of archaeologist Alexandre Bertrand. His father died when Joseph was only nine years old, but that did not stand in his way of learning and understanding algebraic and elementary geometric concepts, and he also could speak Latin fluently, all when he was of the same age of nine. At eleven years old he attended the course of the École Polytechnique as an auditor (open courses). From age eleven to seventeen, he obtained two bachelor's degrees, a license and a PhD with a thesis on the mathematical theory of electricity and is admitted first to the 1839 entrance examination of the École Polytechnique. Bertrand was a professor at the École Polytechnique and Collège de Fra ...
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19th-century French Astronomers
The 19th (nineteenth) century began on 1 January 1801 (Roman numerals, MDCCCI), and ended on 31 December 1900 (Roman numerals, MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolitionism, abolished in much of Europe and the Americas. The Industrial Revolution, 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 Gunpowder empires, Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost ...
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1889 Deaths
Events January–March * January 1 ** The total solar eclipse of January 1, 1889 is seen over parts of California and Nevada. ** Paiute spiritual leader Wovoka experiences a vision, leading to the start of the Ghost Dance movement in the Dakotas. * January 4 – An Act to Regulate Appointments in the Marine Hospital Service of the United States is signed by President Grover Cleveland. It establishes a Commissioned Corps of officers, as a predecessor to the modern-day U.S. Public Health Service Commissioned Corps. * January 5 – Preston North End F.C. is declared the winner of the The Football League 1888–89, inaugural Football League in England. * January 8 – Herman Hollerith receives a patent for his electric tabulating machine in the United States. * January 15 – The Coca-Cola Company is originally Incorporation (business), incorporated as the Pemberton Medicine Company in Atlanta, Georgia (U.S. state), Georgia. * January 22 – Columbia Phonograph is formed in Wa ...
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1839 Births
Events January–March * January 2 – The first photograph of the Moon is taken, by French photographer Louis Daguerre. * January 6 – Night of the Big Wind: Ireland is struck by the most damaging cyclone in 300 years. * January 9 – The French Academy of Sciences announces the daguerreotype photography process. * January 19 – British forces capture Aden. * January 20 – Battle of Yungay: Chile defeats the Peru–Bolivian Confederation, leading to the restoration of an independent Peru. * January – The first parallax measurement of the distance to Alpha Centauri is published by Thomas Henderson. * February 11 – The University of Missouri is established, becoming the first public university west of the Mississippi River. * February 24 – William Otis receives a patent for the steam shovel. * March 5 – Longwood University is founded in Farmville, Virginia. * March 7 – Baltimore City College, the third public high school in the United States, is ...
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Loire
The Loire (, also ; ; oc, Léger, ; la, Liger) is the longest river in France and the 171st longest in the world. With a length of , it drains , more than a fifth of France's land, while its average discharge is only half that of the Rhône. It rises in the southeastern quarter of the French Massif Central in the Cévennes range (in the department of Ardèche) at near Mont Gerbier de Jonc; it flows north through Nevers to Orléans, then west through Tours and Nantes until it reaches the Bay of Biscay (Atlantic Ocean) at Saint-Nazaire. Its main tributaries include the rivers Nièvre, Maine and the Erdre on its right bank, and the rivers Allier, Cher, Indre, Vienne, and the Sèvre Nantaise on the left bank. The Loire gives its name to six departments: Loire, Haute-Loire, Loire-Atlantique, Indre-et-Loire, Maine-et-Loire, and Saône-et-Loire. The lower-central swathe of its valley straddling the Pays de la Loire and Centre-Val de Loire regions was added to the World ...
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Saint-Genest-Lerpt
Saint-Genest-Lerpt () is a commune in the Loire department in central France. Population Twin towns Saint-Genest-Lerpt is twinned with Palau, Sardinia, Italy, since 2005. See also *Communes of the Loire department The following is a list of the 323 communes of the Loire department of France. The communes cooperate in the following intercommunalities (as of 2020):Communes of Loire (department) {{Loire-geo-stub ...
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Science (journal)
''Science'', also widely referred to as ''Science Magazine'', is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals. It was first published in 1880, is currently circulated weekly and has a subscriber base of around 130,000. Because institutional subscriptions and online access serve a larger audience, its estimated readership is over 400,000 people. ''Science'' is based in Washington, D.C., United States, with a second office in Cambridge, UK. Contents The major focus of the journal is publishing important original scientific research and research reviews, but ''Science'' also publishes science-related news, opinions on science policy and other matters of interest to scientists and others who are concerned with the wide implications of science and technology. Unlike most scientific journals, which focus on a specific field, ''Science'' and its rival ''Nature (journal), Nature'' c ...
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French Academy Of Sciences
The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV of France, Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific method, scientific research. It was at the forefront of scientific developments in Europe in the 17th and 18th centuries, and is one of the earliest Academy of Sciences, Academies of Sciences. Currently headed by Patrick Flandrin (President of the Academy), it is one of the five Academies of the Institut de France. History The Academy of Sciences traces its origin to Colbert's plan to create a general academy. He chose a small group of scholars who met on 22 December 1666 in the King's library, near the present-day Bibliothèque nationale de France, Bibliothèque Nationals, and thereafter held twice-weekly working meetings there in the two rooms assigned to the group. The first 30 years of the Academy's existence were relatively informal ...
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Bertrand's Ballot Theorem
In combinatorics, Bertrand's ballot problem is the question: "In an election where candidate A receives ''p'' votes and candidate B receives ''q'' votes with ''p'' > ''q'', what is the probability that A will be strictly ahead of B throughout the count?" The answer is :\frac. The result was first published by W. A. Whitworth in 1878, but is named after Joseph Louis François Bertrand who rediscovered it in 1887. In Bertrand's original paper, he sketches a proof based on a general formula for the number of favourable sequences using a recursion relation. He remarks that it seems probable that such a simple result could be proved by a more direct method. Such a proof was given by Désiré André, based on the observation that the unfavourable sequences can be divided into two equally probable cases, one of which (the case where B receives the first vote) is easily computed; he proves the equality by an explicit bijection. A variation of his method is popularly known as ...
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Combinatorics
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science. Combinatorics is well known for the breadth of the problems it tackles. Combinatorial problems arise in many areas of pure mathematics, notably in algebra, probability theory, topology, and geometry, as well as in its many application areas. Many combinatorial questions have historically been considered in isolation, giving an ''ad hoc'' solution to a problem arising in some mathematical context. In the later twentieth century, however, powerful and general theoretical methods were developed, making combinatorics into an independent branch of mathematics in its own right. One of the oldest and most accessible parts of combinatorics is gra ...
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Charenton (asylum)
Charenton was a lunatic asylum, founded in 1645 by the Frères de la Charité or Brothers of Charity in Charenton-Saint-Maurice, now Saint-Maurice, Val-de-Marne, Saint-Maurice, Val-de-Marne, France. Charenton was first under monastic rule, then Daughters of Charity of Saint Vincent de Paul, Sisters of Charity of St. Vincent de Paul took over the asylum after their founding. Although the town itself was the location of the headquarters of the French Huguenots in the 1500s and 1600s, the founders of Charenton were Catholic. At the time, many hospitals and asylums were Catholic institutions after the Council of Trent and the counter reformation. Charenton was known for its humanitarian treatment of patients, especially under its director the Abbé de Coulmier in the early 19th century. He showed a remarkable aptitude for understanding Psychoanalytic theory. He used the technique of art therapy to help patients manifest their madness through physical art forms. Now merged under a n ...
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