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Émile Borel
Félix Édouard Justin Émile Borel (; 7 January 1871 – 3 February 1956) was a French people, 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 (Paris), 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 y ... [...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 French colonial empire, France's colonies, and was usually known as Minister of the Navy and Colonies, a role thereafter taken by the Minister of the Overseas (France), Minister of the Overseas. In 1947 the naval ministry was absorbed into the Minister of Defence (France), Ministry of Defence, with the exception of merchant marine affairs which had been split in 1929 to the separate Minister of Merchant Marine (France), Ministry of Merchant Marine. History The two primary formations of the French Navy, the Ponant Fleet and Levant Fleet, were placed under the control of Jean-Baptiste Colbert in 1662, whilst he was "intendant des finances" and "minister of state" – but not "secretary of state" : he only became se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory or probability calculus 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 no ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Agrégation
In France, the () is the most competitive and prestigious examination for civil service in the French public education A state school, public school, or government school is a primary school, primary or secondary school that educates all students without charge. They are funded in whole or in part by taxation and operated by the government of the state. State-f ... system. Successful candidates become ''professeurs agrégés'' () and are usually appointed as teachers in Secondary education in France, secondary schools or Classe préparatoire aux grandes écoles, preparatory classes, or as lecturers in universities. Context Originating from the 18th century, the is a highly prestigious and competitive examination. The level of selectivity varies between disciplines: every year, the French Ministry of National Education (France), Ministry of National Education determines and publishes a list of annual quotas for each discipline. There are about 300 to 400 positions open each ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Concours Général
In France, the Concours Général (), created in 1747, 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, the Lycée Saint-Louis de Gonzague 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 an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Polytechnique
(, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mathematician Gaspard Monge during the French Revolution and was militarized under Napoleon I in 1804. It is still supervised by the Ministry of Armed Forces (France), French Ministry of Armed Forces. Originally located in the Latin Quarter, Paris, Latin Quarter in central Paris, the institution moved to Palaiseau in 1976, in the Paris-Saclay, Paris-Saclay technology cluster. French engineering students undergo initial military training and have the status of paid Aspirant, officer cadets. The school has also been awarding doctorates since 1985, masters since 2005 and bachelors since 2017. Most Polytechnique engineering graduates go on to become top executives in companies, senior civil servants, military officers, or researchers. List of É ... [...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 (Paris), 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 Classe préparatoire aux grandes écoles, Classes Préparatoires post-secondary-level curriculum in the sciences, business and khâgne, humanities. Location Louis-le-Grand is located in the heart of the , the centuries-old student district of Paris. It is surrounded by other storied educational institutions: the University of Paris, Sorbonne to its west, across rue Saint-Jacques; the Collège de France ... [...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). It was until its closure in June 1999 the "oldest" identified 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),naturalist) * Jean Baptiste Louis Romé de Lisle (1736–1790), founder of c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Protestant
Protestantism is a branch of Christianity that emphasizes Justification (theology), justification of sinners Sola fide, through faith alone, the teaching that Salvation in Christianity, salvation comes by unmerited Grace in Christianity, divine grace, the priesthood of all believers, and the Bible as the sole infallible source of authority for Christian faith and practice. The five solae, five ''solae'' summarize the basic theological beliefs of mainstream Protestantism. Protestants follow the theological tenets of the Reformation, Protestant Reformation, a movement that began in the 16th century with the goal of reforming the Catholic Church from perceived Criticism of the Catholic Church, errors, abuses, and discrepancies. The Reformation began in the Holy Roman Empire in 1517, when Martin Luther published his ''Ninety-five Theses'' as a reaction against abuses in the sale of indulgences by the Catholic Church, which purported to offer the remission of the Purgatory, temporal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aveyron
Aveyron (; ) is a Departments of France, department in the Regions of France, region of Occitania (administrative region), Occitania, Southern France. It was named after the river Aveyron (river), Aveyron. Its inhabitants are known as ''Aveyronnais'' (masculine) or ''Aveyronnaises'' (feminine) in French. The inhabitants of Aveyron's Prefectures in France, prefecture, Rodez, are called ''Ruthénois'', based upon the first 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 . History Aveyron is one of the Departments of France, original 83 departments created during the French Revolution on 4 March 1790. The earliest known inhabitants of the region were the Rutenii tribe, though the area was inhabited prior to their tenure. The department has many prehistoric monuments, including over a thousand dolmens, the most of any department in France. During the medieval and early modern perio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."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, . This number is often expressed as a percentage (%), ranging from 0% to 100%. 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 as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ... [...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 magnitude (mathematics), magnitude, 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, integral, integration theory, and can be generalized to assume signed measure, 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 B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Politician
A politician is a person who participates in Public policy, policy-making processes, usually holding an elective position in government. Politicians represent the people, make decisions, and influence the formulation of public policy. The roles or duties that politicians must perform vary depending on the level of government they serve, whether Local government, local, national, or international. The ideological orientation that politicians adopt often stems from their previous experience, education, beliefs, the political parties they belong to, or public opinion. Politicians sometimes face many challenges and mistakes that may affect their credibility and ability to persuade. These mistakes include political corruption resulting from their misuse and exploitation of power to achieve their interests, which requires them to prioritize the public interest and develop long-term strategies. Challenges include how to keep up with the development of social media and confronting biase ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
