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Pierre De Fermat
Pierre de Fermat (; ; 17 August 1601 – 12 January 1665) was a French mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality. In particular, he is recognized for his discovery of an original method of finding the greatest and the smallest ordinates of curved lines, which is analogous to that of differential calculus, then unknown, and his research into number theory. He made notable contributions to analytic geometry, probability, and optics. He is best known for his Fermat's principle for light propagation and his Fermat's Last Theorem in number theory, which he described in a note at the margin of a copy of Diophantus' ''Arithmetica''. He was also a lawyer at the ''parlement'' of Toulouse, France. Biography Fermat was born in 1601 in Beaumont-de-Lomagne, France—the late 15th-century mansion where Fermat was born is now a museum. He was from Gascony, where his father, Dominique Fermat, was a wealthy ...
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Beaumont-de-Lomagne
Beaumont-de-Lomagne (; Languedocien dialect, Languedocien: ''Bèumont de Lomanha'') is a Communes of France, commune in the Tarn-et-Garonne Departments of France, department in the Occitania (administrative region), Occitanie Regions of France, region in southern France. Geography The river Gimone runs through the town. History Beaumont-de-Lomagne, bastide, was founded in 1276 following the act of coregency between the abbey of Grandselve and King Philip III of France – the King was represented by his seneschal for the former County of Toulouse, Eustache de Beaumarchais. In 1278 the town was granted a very liberal charter of laws, by the standards of the period, defining the rights and duties of its inhabitants. In 1280, work commenced on a large church; its flat apse shows the influence of Cîteaux. The bell-tower, was made in the fifteenth century and resembles that of Basilique St-Sernin, Toulouse, Saint-Sernin in Toulouse. Construction finished around 1430 and the Bishop o ...
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Infinitesimal Calculus
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns instantaneous rates of change, and the slopes of curves, while the latter concerns accumulation of quantities, and areas under or between curves. These two branches are related to each other by the fundamental theorem of calculus. They make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. It is the "mathematical backbone" for dealing with problems where variables change with time or another reference variable. Infinitesimal calculus was formulated separately in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz. Later work, including codifying ...
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Bordeaux
Bordeaux ( ; ; Gascon language, Gascon ; ) is a city on the river Garonne in the Gironde Departments of France, department, southwestern France. A port city, it is the capital of the Nouvelle-Aquitaine region, as well as the Prefectures in France, prefecture of the Gironde department. Its inhabitants are called "''Bordelais'' (masculine) or "''Bordelaises'' (feminine). The term "Bordelais" may also refer to the city and its surrounding region. The city of Bordeaux proper had a population of 259,809 in 2020 within its small municipal territory of , but together with its suburbs and exurbs the Bordeaux Functional area (France), metropolitan area had a population of 1,376,375 that same year (Jan. 2020 census), the sixth-most populated in France after Paris, Lyon, Marseille, Lille, and Toulouse. Bordeaux and 27 suburban municipalities form the Bordeaux Métropole, Bordeaux Metropolis, an Indirect election, indirectly elected Métropole, metropolitan authority now in charge of wi ...
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Gascony
Gascony (; ) was a province of the southwestern Kingdom of France that succeeded the Duchy of Gascony (602–1453). From the 17th century until the French Revolution (1789–1799), it was part of the combined Province of Guyenne and Gascony. The region is vaguely defined, and the distinction between Guyenne and Gascony is unclear; by some they are seen to overlap, while others consider Gascony a part of Guyenne. Most definitions put Gascony east and south of Bordeaux. It is currently divided between the region of Nouvelle-Aquitaine (departments of Landes, Pyrénées-Atlantiques, southwestern Gironde, and southern Lot-et-Garonne) and the region of Occitanie (departments of Gers, Hautes-Pyrénées, southwestern Tarn-et-Garonne, and western Haute-Garonne). Gascony was historically inhabited by Basque-related people who appear to have spoken a language similar to Basque. The name Gascony comes from the same root as the word Basque (see Wasconia below). From the Middle Ag ...
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Pierre De Fermat3
Pierre is a masculine given name. It is a French form of the name Peter. Pierre originally meant "rock" or "stone" in French (derived from the Greek word πέτρος (''petros'') meaning "stone, rock", via Latin "petra"). It is a translation of Aramaic כיפא (''Kefa),'' the nickname Jesus gave to apostle Simon Bar-Jona, referred in English as Saint Peter. Pierre is also found as a surname. People with the given name * Monsieur Pierre, Pierre Jean Philippe Zurcher-Margolle (c. 1890–1963), French ballroom dancer and dance teacher * Pierre (footballer), Lucas Pierre Santos Oliveira (born 1982), Brazilian footballer * Pierre, Baron of Beauvau (c. 1380–1453) * Pierre, Duke of Penthièvre (1845–1919) * Pierre, marquis de Fayet (died 1737), French naval commander and Governor General of Saint-Domingue * Prince Pierre, Duke of Valentinois (1895–1964), father of Rainier III of Monaco * Pierre Affre (1590–1669), French sculptor * Pierre Agostini, French physicist ...
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France
France, officially the French Republic, is a country located primarily in Western Europe. Overseas France, Its overseas regions and territories include French Guiana in South America, Saint Pierre and Miquelon in the Atlantic Ocean#North Atlantic, North Atlantic, the French West Indies, and List of islands of France, many islands in Oceania and the Indian Ocean, giving it Exclusive economic zone of France, one of the largest discontiguous exclusive economic zones in the world. Metropolitan France shares borders with Belgium and Luxembourg to the north; Germany to the northeast; Switzerland to the east; Italy and Monaco to the southeast; Andorra and Spain to the south; and a maritime border with the United Kingdom to the northwest. Its metropolitan area extends from the Rhine to the Atlantic Ocean and from the Mediterranean Sea to the English Channel and the North Sea. Its Regions of France, eighteen integral regions—five of which are overseas—span a combined area of and hav ...
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Toulouse
Toulouse (, ; ; ) is a city in southern France, the Prefectures in France, prefecture of the Haute-Garonne department and of the Occitania (administrative region), Occitania region. The city is on the banks of the Garonne, River Garonne, from the Mediterranean Sea, from the Atlantic Ocean and from Paris. It is the List of communes in France with over 20,000 inhabitants, fourth-largest city in France after Paris, Marseille and Lyon, with 511,684 inhabitants within its municipal boundaries (2022); its Functional area (France), metropolitan area has a population of 1,513,396 inhabitants (2022). Toulouse is the central city of one of the 22 Métropole, metropolitan councils of France. Between the 2014 and 2020 censuses, its metropolitan area was the third fastest growing among metropolitan areas larger than 500,000 inhabitants in France. Toulouse is the centre of the European aerospace industry, with the headquarters of Airbus, the SPOT (satellites), SPOT satellite system, ATR ( ...
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Parlement
Under the French Ancien Régime, a ''parlement'' () was a provincial appellate court of the Kingdom of France. In 1789, France had 13 ''parlements'', the original and most important of which was the ''Parlement'' of Paris. Though both the modern French term ''parlement'' (for the legislature) and the English word "parliament" derive from this French term, the Ancien Régime parlements were not legislative bodies and the modern and ancient terminology are not interchangeable. History Parlements were judicial organizations consisting of a dozen or more appellate judges, or about 1,100 judges nationwide. They were the courts of final appeal of the judicial system, and typically wielded power over a wide range of subjects, particularly taxation. Laws and edicts issued by the Crown were not official in their respective jurisdictions until the parlements gave their assent by publishing them. The members of the parlements were aristocrats, called nobles of the robe, who had bo ...
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Arithmetica
Diophantus of Alexandria () (; ) was a Greek mathematics, Greek mathematician who was the author of the ''Arithmetica'' in thirteen books, ten of which are still extant, made up of arithmetical problems that are solved through algebraic equations. Although Joseph-Louis Lagrange called Diophantus "the inventor of algebra" he did not invent it; however, his exposition became the standard within the Neoplatonic schools of Late antiquity, and its translation into Arabic in the 9th century AD and had influence in the development of later algebra: Diophantus' method of solution matches medieval Arabic algebra in its concepts and overall procedure. The 1621 edition of ''Arithmetica'' by Bachet gained fame after Pierre de Fermat wrote his famous "Fermat's Last Theorem, Last Theorem" in the margins of his copy. In modern use, Diophantine equation, Diophantine equations are algebraic equations with integer coefficients for which integer solutions are sought. Diophantine geometry and Dioph ...
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Diophantus
Diophantus of Alexandria () (; ) was a Greek mathematician who was the author of the '' Arithmetica'' in thirteen books, ten of which are still extant, made up of arithmetical problems that are solved through algebraic equations. Although Joseph-Louis Lagrange called Diophantus "the inventor of algebra" he did not invent it; however, his exposition became the standard within the Neoplatonic schools of Late antiquity, and its translation into Arabic in the 9th century AD and had influence in the development of later algebra: Diophantus' method of solution matches medieval Arabic algebra in its concepts and overall procedure. The 1621 edition of ''Arithmetica'' by Bachet gained fame after Pierre de Fermat wrote his famous " Last Theorem" in the margins of his copy. In modern use, Diophantine equations are algebraic equations with integer coefficients for which integer solutions are sought. Diophantine geometry and Diophantine approximations are two other subareas of number theo ...
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Optics
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of optical instruments, instruments that use or Photodetector, detect it. Optics usually describes the behaviour of visible light, visible, ultraviolet, and infrared light. Light is a type of electromagnetic radiation, and other forms of electromagnetic radiation such as X-rays, microwaves, and radio waves exhibit similar properties. Most optical phenomena can be accounted for by using the Classical electromagnetism, classical electromagnetic description of light, however complete electromagnetic descriptions of light are often difficult to apply in practice. Practical optics is usually done using simplified models. The most common of these, geometric optics, treats light as a collection of Ray (optics), rays that travel in straight lines and bend when they pass through or reflect from surfaces. Physical optics is a more comprehensive mo ...
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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 ...
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