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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 original vers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nemours
Nemours () is a commune in the Seine-et-Marne department in the Île-de-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 revoking previous concessions to the Protestants was concluded at Nemours between Catherine de' Medici and the Guises. Demographics Inhabitants are called ''Nemouriens''. Sights The church, which dates mainly from the sixteenth century, has a handsome wooden spire. The feudal c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Determinant
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if and only if the matrix is invertible and the linear map represented by the matrix is an isomorphism. The determinant of a product of matrices is the product of their determinants (the preceding property is a corollary of this one). The determinant of a matrix is denoted , , or . 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 & f \\ g & h & i \end= aei + bfg + cdh - ceg - bdi - afh. The determinant of a matrix can be defined in several equivalent ways. Leibniz formula expresses the determinant as a sum of signed products of matrix entries such that each summand is the product of different entries, and the number of these summands is n!, the factorial of (t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theorists
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century French Mathematicians
The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave trading and human trafficking expanded across the shores of the Atlantic, while declining in Russia, China, and Korea. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures, including the structures and beliefs that supported slavery. The Industrial Revolution began during mid-century, leading to radical changes in human society and the environment. 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 Revolution, with an emphasis on directly interconnected events. To historians who expand ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Nemours
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of ... [...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
Year 173 ( CLXXIII) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Severus and Pompeianus (or, less frequently, year 926 ''Ab urbe condita''). The denomination 173 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Gnaeus Claudius Severus and Tiberius Claudius Pompeianus become Roman Consuls. * Given control of the Eastern Empire, Avidius Cassius, the governor of Syria, crushes an insurrection of shepherds known as the Boukoloi. Births * Maximinus Thrax ("the Thracian"), Roman emperor (d. 238) * Mi Heng, Chinese writer and musician (d. 198) Deaths * Donatus of Muenstereifel, Roman soldier and martyr (b. AD 140 Year 140 ( CXL) was a leap year starting on Thursday (link will display the full calendar) of the Julian cal ... [...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 Ruse (also transliterated as Rousse, Russe; bg, Русе ) is the fifth largest city in Bulgaria. Ruse is in the northeastern part of the count ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Public Domain
The public domain (PD) consists of all the creative work A creative work is a manifestation of creative effort including fine artwork (sculpture, paintings, drawing, sketching, performance art), dance, writing (literature), filmmaking, and composition. Legal definitions Creative works require a cre ... to which no exclusive intellectual property rights apply. Those rights may have expired, been forfeited, expressly waived, or may be inapplicable. Because those rights have expired, anyone can legally use or reference those works without permission. As examples, the works of William Shakespeare, Ludwig van Beethoven, 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 for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial Remainder Theorem
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate is . An example with three indeterminates is . Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry. Etymology The word ''polynomial'' joins ... [...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 MPC collect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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