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Émile Borel
Félix Édouard Justin Émile Borel (; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability. Biography Borel was born in Saint-Affrique, Aveyron, the son of a Protestant pastor. He studied at the Collège Sainte-Barbe and Lycée Louis-le-Grand before applying to both the École normale supérieure and the École Polytechnique. He qualified in the first position for both and chose to attend the former institution in 1889. That year he also won the concours général, an annual national mathematics competition. After graduating in 1892, he placed first in the agrégation, a competitive civil service examination leading to the position of professeur agrégé. His thesis, published in 1893, was titled ''Sur quelques points de la théorie des fonctions'' ("On some points in the theory of functions"). That year, Borel started a four-year stint as a lectu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Naval Ministers Of France
One of France's Secretaries of State under the Ancien Régime was entrusted with control of the French Navy (Secretary of State of the Navy (France).) In 1791, this title was changed to Minister of the Navy. Before January 1893, this position also had responsibility for France's colonies, and was usually known as Minister of the Navy and Colonies, a role thereafter taken by the Minister of the Overseas. In 1947 the naval ministry was absorbed into the Ministry of Defence, with the exception of merchant marine affairs which had been split in 1929 to the separate Ministry of Merchant Marine. History The two French royal fleets (the Ponant fleet and Levant fleet) were put under the control of Colbert from 1662, whilst he was " intendant des finances" and "minister of state" – but not "secretary of state" : he only became secretary of state in 1669 after having bought his way into the post. From then on, right up to the French Revolution, a secretary of state had responsibility ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms of probability, axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure (mathematics), measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event (probability theory), event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of determinism, non-deterministic or uncertain processes or measured Quantity, quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Agrégation
In France, the ''agrégation'' () is a competitive examination for civil service in the French public education system. Candidates for the examination, or ''agrégatifs'', become ''agrégés'' once they are admitted to the position of ''professeur agrégé''. In France, ''professeurs agrégés'' are distinguished from ''professeurs certifiés'' recruited through the CAPES training. The ''agrégés'' are usually expected to teach in sixth-form colleges ('' lycées'') and universities, while the ''certifiés'' usually teach in secondary schools ('' collèges''), although there is a significant overlap. The examination may require more than a year of preparation. The difficulty and selectivity (quota) vary from one discipline to another: there are about 300 such positions open each year for mathematics alone, but usually fewer positions are made available for humanities and social sciences (for example, 61 positions for philosophy were offered in 2018) and perhaps only one seat i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Concours Général
In France, the Concours Général is the most prestigious academic competition held every year between students of ''Première'' (11th grade) and ''Terminale'' (12th and final grade) in almost all subjects taught in both general, technological and professional high schools. Exams usually take place in March, and their results are known in June or July. Students who show great ability in one field are selected to participate by their teachers and their school principal. Most of the time, no more than one student per high school is allowed to participate in the competition, which requires strong knowledge of college level topics (Some "elite" high schools sometimes depart from this rule, presenting dozens of students, such as the Lycée Louis-Le-Grand, or the Lycée Henri IV in Paris). In the humanities and social sciences, the exams involve one or more essays and last 6 hours. In the sciences, the exams last almost as long and are problem-based. In a given subject, up to 18 awards c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Polytechnique
École may refer to: * an elementary school in the French educational stages normally followed by secondary education establishments (collège and lycée) * École (river), a tributary of the Seine The Seine ( , ) is a river in northern France. Its drainage basin is in the Paris Basin (a geological relative lowland) covering most of northern France. It rises at Source-Seine, northwest of Dijon in northeastern France in the Langres plate ... flowing in région Île-de-France * École, Savoie, a French commune * École-Valentin, a French commune in the Doubs département * Grandes écoles, higher education establishments in France * The École, a French-American bilingual school in New York City Ecole may refer to: * Ecole Software, a Japanese video-games developer/publisher {{disambiguation, geo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lycée Louis-le-Grand
The Lycée Louis-le-Grand (), also referred to simply as Louis-le-Grand or by its acronym LLG, is a public Lycée (French secondary school, also known as sixth form college) located on rue Saint-Jacques in central Paris. It was founded in the early 1560s by the Jesuits as the ''Collège de Clermont'', was renamed in 1682 after King Louis XIV ("Louis the Great"), and has remained at the apex of France's secondary education system despite its disruption in 1762 following the suppression of the Society of Jesus. It offers both a high school curriculum, and a Classes Préparatoires post-secondary-level curriculum in the sciences, business and humanities. The strict admission process is based on academic grades, drawing from middle schools (for entry into high school) and high schools (for entry into the preparatory classes) throughout France. Its educational standards are highly rated and the working conditions are considered optimal due to its demanding recruitment of teachers. L ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Collège Sainte-Barbe
The Collège Sainte-Barbe is a former college in the 5th arrondissement of Paris, France. The Collège Sainte-Barbe was founded in 1460 on Montagne Sainte-Geneviève ( Latin Quarter, Paris) by Pierre Antoine Victor de Lanneau, teacher of religious studies, as a college of the University of Paris. It was until June 1999 the "oldest" college of Paris. The Barbiste Spirit is kept alive through the Friendly Association of Old Barbistes, founded in 1820, recognized a public society since 1880, which is the oldest association of alumni of France, "l'Association Amicale des Anciens Barbistes". Alumni Former Barbists (ordered by date of birth) include: * Diogo de Gouveia (1471–1557) * Ignace de Loyola (1491–1556) * André de Gouveia (1497–1548) * St. François-Xavier (1506–1552), Roman Catholic missionary to India, China, and Southeast Asia * Pierre Lefevre (1506–1546) * Guillaume Postel (1510–1581) * Achilles Statius (1524–1581) * Michel Adanson (1727–1806),natur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Protestant
Protestantism is a Christian denomination, branch of Christianity that follows the theological tenets of the Reformation, Protestant Reformation, a movement that began seeking to reform the Catholic Church from within in the 16th century against what its followers perceived to be growing Criticism of the Catholic Church, errors, abuses, and discrepancies within it. Protestantism emphasizes the Christian believer's justification by God in faith alone (') rather than by a combination of faith with good works as in Catholicism; the teaching that Salvation in Christianity, salvation comes by Grace in Christianity, divine grace or "unmerited favor" only ('); the Universal priesthood, priesthood of all faithful believers in the Church; and the ''sola scriptura'' ("scripture alone") that posits the Bible as the sole infallible source of authority for Christian faith and practice. Most Protestants, with the exception of Anglo-Papalism, reject the Catholic doctrine of papal supremacy, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aveyron
Aveyron (; oc, Avairon; ) is a department in the region of Occitania, Southern France. It was named after the river Aveyron. Its inhabitants are known as ''Aveyronnais'' (masculine) or ''Aveyronnaises'' (feminine) in French. The inhabitants of Aveyron's prefecture, Rodez, are called ''Ruthénois'', based upon the first Celtic settlers in the area, the Ruteni. With an area of and a population of 279,595, Aveyron is a largely rural department with a population density of 32 per square kilometer (83/sq mi). History Aveyron is one of the original 83 departments created during the French Revolution on 4 March 1790. The first known historical inhabitants of the region were the Rutenii tribe, but the area was inhabited previously to this, boasting many prehistoric ruins including over 1,000 dolmens, more than any other department in France. During the medieval and early modern periods, and until the 1790s, the territory covered by Aveyron was a province known as Rouergue. In 1797 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Measure Theory
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as mass and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge. Far-reaching generalizations (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general. The intuition behind this concept dates back to ancient Greece, when Archimedes tried to calculate the area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Const ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Politician
A politician is a person active in party politics, or a person holding or seeking an elected office in government. Politicians propose, support, reject and create laws that govern the land and by an extension of its people. Broadly speaking, a politician can be anyone who seeks to achieve Power (social and political), political power in a government. Identity Politicians are people who are politically active, especially in party politics. Political positions range from local governments to state governments to federal governments to Intergovernmental organisation, international governments. All ''government leaders'' are considered politicians. Media and rhetoric Politicians are known for their rhetoric, as in speeches or campaign advertisements. They are especially known for using common themes that allow them to develop their political positions in terms familiar to the voters. Politicians of necessity become expert users of the media. Politicians in the 19th century made ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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