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Étienne Bézout
Étienne Bézout (; 31 March 1730 – 27 September 1783) was a French mathematician who was born in Nemours, Seine-et-Marne, France, and died in Avon (near Fontainebleau), France. Work In 1758 Bézout was elected an adjoint in mechanics of the French Academy of Sciences. Besides numerous minor works, he wrote a ''Théorie générale des équations algébriques'', published at Paris in 1779, which in particular contained much new and valuable matter on the theory of elimination and symmetrical functions of the roots of an equation: he used determinants in a paper in the ''Histoire de l'académie royale'', 1764, but did not treat the general theory. Publications * Legacy After his death, a statue was erected in his birth town, Nemours, to commemorate his achievements. In 2000, the minor planet 17285 Bezout was named after him. See also * Little Bézout's theorem * Bézout's theorem * Bézout's identity * Bézout matrix * Bézout domain References *''The origin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nemours
Nemours () is a Communes of France, commune in the Seine-et-Marne Departments of France, department in the Île-de-France Regions of France, region in north-central France. Geography Nemours is located on the Loing and its canal, c. south of Melun, on the Moret–Lyon railway. Nemours – Saint-Pierre station has rail connections to Montargis, Melun, Nevers and Paris. History Nemours is supposed to derive its name from the woods (''nemora'') in the midst of which it formerly stood, and discoveries of Gallo-Roman remains indicate its early origin. It was captured by the English in 1420, but derives its historical importance rather from the lordship (afterwards duchy) of Nemours, and the fief lords the Duke of Nemours to which it gave its name. In 1585 a Treaty of Nemours, treaty revoking previous concessions to the Protestants was concluded at Nemours between Catherine de' Medici and the House of Guise, Guises. The Hôtel de Ville, Nemours, Hôtel de Ville was commissioned as a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Determinant
In mathematics, the determinant is a Scalar (mathematics), scalar-valued function (mathematics), function of the entries of a square matrix. The determinant of a matrix is commonly denoted , , or . Its value characterizes some properties of the matrix and the linear map represented, on a given basis (linear algebra), basis, by the matrix. In particular, the determinant is nonzero if and only if the matrix is invertible matrix, invertible and the corresponding linear map is an linear isomorphism, isomorphism. However, if the determinant is zero, the matrix is referred to as singular, meaning it does not have an inverse. The determinant is completely determined by the two following properties: the determinant of a product of matrices is the product of their determinants, and the determinant of a triangular matrix is the product of its diagonal entries. The determinant of a matrix is :\begin a & b\\c & d \end=ad-bc, and the determinant of a matrix is : \begin a & b & c \\ d & e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French Number Theorists
French may refer to: * Something of, from, or related to France ** French language, which originated in France ** French people, a nation and ethnic group ** French cuisine, cooking traditions and practices Arts and media * The French (band), a British rock band * "French" (episode), a live-action episode of ''The Super Mario Bros. Super Show!'' * ''Française'' (film), a 2008 film * French Stewart (born 1964), American actor Other uses * French (surname), a surname (including a list of people with the name) * French (tunic), a type of military jacket or tunic * French's, an American brand of mustard condiment * French (catheter scale), a unit of measurement * French Defence, a chess opening * French kiss, a type of kiss See also * France (other) * Franch, a surname * French Revolution (other) * French River (other), several rivers and other places * Frenching (other) * Justice French (other) Justice French may refer to: * C. G. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century French Mathematicians
The 18th century lasted from 1 January 1701 (represented by the Roman numerals MDCCI) to 31 December 1800 (MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the Atlantic Revolutions. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures. The Industrial Revolution began mid-century, leading to radical changes in human society and the environment. The European colonization of the Americas and other parts of the world intensified and associated mass migrations of people grew in size as part of the Age of Sail. During the century, slave trading expanded across the shores of the Atlantic Ocean, while declining in Russia and China. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revoluti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Nemours
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination Self-determination refers to a people's right to form its own political entity, and internal self-determination is the right to representative government with full suffrage. Self-determination is a cardinal principle in modern international la .... Though the mere status as peoples and the right to self-determination, as for example in the case of Declaration on the Rights of Indigenous Peoples, Indigenous peoples (''peoples'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1783 Deaths
Events January–March * January 20 – At Versailles, Great Britain signs preliminary peace treaties with the Kingdom of France and the Kingdom of Spain. * January 23 – The Confederation Congress ratifies two October 8, 1782, treaties signed by the United States with the United Netherlands. * February 3 – American Revolutionary War: Great Britain acknowledges the independence of the United States of America. At this time, the Spanish government does not grant diplomatic recognition. * February 4 – American Revolutionary War: Great Britain formally declares that it will cease hostilities with the United States. * February 5 – 1783 Calabrian earthquakes: The first of a sequence of five earthquakes strikes Calabria, Italy (February 5–7, March 1 & 28), leaving 50,000 dead. * February 7 – The Great Siege of Gibraltar is abandoned. * February 26 – The United States Continental Army's Corps of Engineers is disbanded. * March 5 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1730 Births
Events January–March * January 30 (January 19 O.S.) – At dawn, Emperor Peter II of Russia dies of smallpox, aged 14 in Moscow, on the eve of his projected marriage. * February 26 (February 15 O.S.) – Anna of Russia (Anna Ioannovna) becomes reigning Empress of Russia following the death of her cousin Emperor Peter II. * February 28 – Vitus Bering returns to the Russian capital of Saint Petersburg after completing the First Kamchatka expedition. * March 5 – The 1730 papal conclave to elect a new Pope for the Roman Catholic church begins with 30 Cardinals, 12 days after the death of Pope Benedict XIII. By the time his successor is elected on July 12, there are 56 Cardinals. * March 9 – General Nader Khan of Persia opens the first campaign of the Ottoman–Persian War (1730–1735), guiding the Persian Army from Shiraz and starting the Western Persia Campaign against the Ottoman Empire. * March 12 – John Glas is deposed from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rouse History Of Mathematics
Rouse may refer to: Places * Rouse, California, United States, a census-designated place * Rouse, Wisconsin, United States, an unincorporated community * Rouses Point, New York, United States, a village * Rouse Islands, Antarctica * Cape Rouse, Antarctica People * Rouse (surname) * Rouse Simmons (Wisconsin politician) (1832–1897), American politician and businessman Other uses * The Rouse, a military bugle call * Rouse Baronets, an extinct baronetcy in the Baronetage of England * Rouse High School, Leander, Texas, United States * Rouse Ranch, Holt County, Nebraska, United States * The Rouse Company, an American real estate developer See also * Rouse model in polymer physics * Rouse number, a non-dimensional number in fluid dynamics * Rouse Rocks (other) * Rouses, a supermarket chain in Louisiana and Mississippi * Rousse, Bulgaria * Rowse, a surname * Raus (other) {{disambiguation, geo, given name ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Public Domain
The public domain (PD) consists of all the creative work to which no Exclusive exclusive intellectual property rights apply. Those rights may have expired, been forfeited, expressly Waiver, waived, or may be inapplicable. Because no one holds the exclusive rights, anyone can legally use or reference those works without permission. As examples, the works of William Shakespeare, Ludwig van Beethoven, Miguel de Cervantes, Zoroaster, Lao Zi, Confucius, Aristotle, L. Frank Baum, Leonardo da Vinci and Georges Méliès are in the public domain either by virtue of their having been created before copyright existed, or by their copyright term having expired. Some works are not covered by a country's copyright laws, and are therefore in the public domain; for example, in the United States, items excluded from copyright include the formulae of Classical mechanics, Newtonian physics and cooking recipes. Other works are actively dedicated by their authors to the public domain (see waiver) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial Remainder Theorem
In algebra, the polynomial remainder theorem or little Bézout's theorem (named after Étienne Bézout) is an application of Euclidean division of polynomials. It states that, for every number r, any polynomial f(x) is the sum of f(r) and the product of x-r and a polynomial in x of degree one less than the degree of f. In particular, f(r) is the remainder of the Euclidean division of f(x) by x-r, and x-r is a divisor of f(x) if and only if f(r)=0, a property known as the factor theorem. Examples Example 1 Let f(x) = x^3 - 12x^2 - 42. Polynomial division of f(x) by (x-3) gives the quotient x^2 - 9x - 27 and the remainder -123. By the polynomial remainder theorem, f(3)=-123. Example 2 Proof that the polynomial remainder theorem holds for an arbitrary second degree polynomial f(x) = ax^2 + bx + c by using algebraic manipulation: \begin f(x)-f(r) &= ax^2+bx+c-(ar^2+br+c)\\ &= a(x^2-r^2)+ b(x-r)\\ &= a(x-r)(x+r)+b(x-r)\\ &= (x-r)(ax +ar+ b) \end So, f(x) = (x - r)(ax + ar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minor Planet Center
The Minor Planet Center (MPC) is the official body for observing and reporting on minor planets under the auspices of the International Astronomical Union (IAU). Founded in 1947, it operates at the Smithsonian Astrophysical Observatory. Function The Minor Planet Center is the official worldwide organization in charge of collecting observational data for minor planets (such as asteroids), calculating their orbits and publishing this information via the '' Minor Planet Circulars''. Under the auspices of the International Astronomical Union (IAU), it operates at the Smithsonian Astrophysical Observatory, which is part of the Center for Astrophysics along with the Harvard College Observatory. The MPC runs a number of free online services for observers to assist them in observing minor planets and comets. The complete catalogue of minor planet orbits (sometimes referred to as the "Minor Planet Catalogue") may also be freely downloaded. In addition to astrometric data, the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
