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Léon-François-Antoine Aurifeuille
Léon-François-Antoine Aurifeuille (1822–1882) was a French mathematician after whom Aurifeuillean factorizations are named. He was the author of three books: ''Cours de géométrie élémentaire'' (with C. Richaud, Paris: Bachelier, 1847), ''Traité de géométrie élémentaire'' (with C. Dumont, 2nd ed., Toulouse: Bonnal & Gibrac, 1860), and ''Traité d'arithmétique'' (with C. Dumont, 2nd ed., Toulouse: Bonnal & Gibrac, 1859). Under the pseudonym A pseudonym (; ) or alias () is a fictitious name that a person assumes for a particular purpose, which differs from their original or true meaning ( orthonym). This also differs from a new name that entirely or legally replaces an individual's o ... Alfred de Caston, French National Library, retrieved 2015-03-05. he also wrote several other books, including ''Les Tricheurs, s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French People
French people () are a nation primarily located in Western Europe that share a common Culture of France, French culture, History of France, history, and French language, language, identified with the country of France. The French people, especially the native speakers of langues d'oïl from northern and central France, are primarily descended from Roman people, Romans (or Gallo-Romans, western European Celts, Celtic and Italic peoples), Gauls (including the Belgae), as well as Germanic peoples such as the Franks, the Visigoths, the Suebi and the Burgundians who settled in Gaul from east of the Rhine after the fall of the Roman Empire, as well as various later waves of lower-level irregular migration that have continued to the present day. The Norsemen also settled in Normandy in the 10th century and contributed significantly to the ancestry of the Normans. Furthermore, regional ethnic minorities also exist within France that have distinct lineages, languages and cultures such ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aurifeuillean Factorization
In number theory, an aurifeuillean factorization, named after Léon-François-Antoine Aurifeuille, is factorization of certain integer values of the cyclotomic polynomials. Because cyclotomic polynomials are irreducible polynomials over the integers, such a factorization cannot come from an algebraic factorization of the polynomial. Nevertheless, certain families of integers coming from cyclotomic polynomials have factorizations given by formulas applying to the whole family, as in the examples below. Examples * Numbers of the form a^4 + 4b^4 have the following factorization ( Sophie Germain's identity): a^4 + 4b^4 = (a^2 - 2ab + 2b^2)\cdot (a^2 + 2ab + 2b^2). Setting a=1 and b=2^k, one obtains the following aurifeuillean factorization of \Phi_4(2^)=2^+1, where \Phi_4(x)=x^2+1 is the fourth cyclotomic polynomial: 2^+1 = (2^-2^+1)\cdot (2^+2^+1). * Numbers of the form a^6 + 27b^6 have the following factorization, where the first factor (a^2 + 3b^2) is the algebraic factorization o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pseudonym
A pseudonym (; ) or alias () is a fictitious name that a person assumes for a particular purpose, which differs from their original or true meaning ( orthonym). This also differs from a new name that entirely or legally replaces an individual's own. Many pseudonym holders use them because they wish to remain anonymous and maintain privacy, though this may be difficult to achieve as a result of legal issues. Scope Pseudonyms include stage names, user names, ring names, pen names, aliases, superhero or villain identities and code names, gamertags, and regnal names of emperors, popes, and other monarchs. In some cases, it may also include nicknames. Historically, they have sometimes taken the form of anagrams, Graecisms, and Latinisations. Pseudonyms should not be confused with new names that replace old ones and become the individual's full-time name. Pseudonyms are "part-time" names, used only in certain contexts: to provide a more clear-cut separation between one's privat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century French Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, 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 Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1822 Births
Events January–March * January 1 – The Greek Constitution of 1822 is adopted by the First National Assembly at Epidaurus. * January 3 – The famous French explorer, Aimé Bonpland, is imprisoned in Paraguay on charges of espionage. * January 7 – The first freed slaves from the United States arrive on the west coast of Africa, founding Monrovia on April 25. * January 9 – The Portuguese prince Pedro I of Brazil decides to stay in Brazil against the orders of the Portugal's King João VI, beginning the Brazilian independence process. * January 13 – The design of the modern-day flag of Greece is adopted by the First National Assembly at Epidaurus, for their naval flag. * January 14 – Greek War of Independence: Acrocorinth is captured by Theodoros Kolokotronis and Demetrios Ypsilantis. * February 6 – The Chinese junk '' Tek Sing'' sinks in the South China Sea, drowning more than 1,800 people on board. The wreckage will not be located until 1999. * Fe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
